FINDING SLOPE AND Y INTERCEPT FROM A GRAPH WORKSHEET

Finding slope and y intercept from a graph worksheet :

Here we are going to see some practice questions on finding slope and y-intercept of a linear function.

Y-intercept :

The y-intercept of the line is the value of at the point where the line crosses the y axis.

How to find slope :

To find the slope from a graph first we have to mark any two points on the graph.

After marking two points we have to draw the right triangle which connects the points which have been marked. In the right triangle,

• the vertical direction at the line is called "rise"
• the horizontal direction at the line is called "run"

Alternate method :

We can use the formula (y-y)/(x-x) to find the slope of the line. Here (x₁, y₁) and (x₂, y₂) are any points lie on the line.

Finding slope and y intercept from a graph worksheet - Questions

Problem 1 :

Find the slope and y-intercept of a linear function from the graph given below.

Problem 2 :

Find the slope and y-intercept of a linear function from the graph given below.

Problem 3 :

Find the slope and y-intercept of a linear function from the graph given below.

Finding slope and y intercept from a graph worksheet - Answers

Problem 1 :

Find the slope and y-intercept of a linear function from the graph given below.

Solution :

Y-intercept :

The y-intercept of the line is the value of at the point where the line crosses the y axis.

The above line intersects the y-axis at the point 4. So y-intercept  =  4  Finding the slope and y-intercept of a linear function worksheet

Slope :

Now we are going to mark two points (-2, 0) and (0, 4) on the line to find the slope.

Slope = Change of y/change of x

"We have to rise before we run"

We need to take downward direction from (0,4) for rise.Since we take downward direction we have to put negative sign.

Rise = -4

After reaching the common point we need to move towards to the left ward 2 units. So we have to take -2.

Run = -2

=  (- 4) / (-2)  =  2

Hence, slope of the given line is 2.

By using the alternative method, we will get the same answer.

m  =  (y-y)/(x-x)

(x₁,y₁) ==> (-2, 0) and (x₂, y₂) ==> (0, 4)

m  =  (4 - 0)/(0 + 2)

m  =  4 /2  =  2

Let us see the next problem on "Finding slope and y intercept from a graph worksheet".

Problem 2 :

Find the slope and y-intercept of a linear function from the graph given below.

Solution :

Y-intercept :

The y-intercept of the line is the value of at the point where the line crosses the y axis.

The above line intersects the y-axis at the point -3. So y-intercept  =  -3

Slope :

Now we are going to mark two points (1, -1) and (2, 1) on the line to find the slope.

Slope = Change of y/change of x

"We have to rise before we run"

We need to take downward direction from (2,1) for rise.Since we take downward direction we have to put negative sign.

Rise = -2

After reaching the common point we need to move towards to the left ward 1 unit. So we have to take -1.

Run = -1

=  (-2) / (-1)  =  2

Hence, slope of the given line is 2.

By using the alternative method, we will get the same answer.

m  =  (y-y)/(x-x)

(x₁,y₁) ==> (1, -1) and (x₂, y₂) ==> (2, 1)

m  =  (1 + 1)/(2 - 1)

m  =  2 / 1  =  2

Let us see the next problem on "Finding slope and y intercept from a graph worksheet".

Problem 3 :

Find the slope and y-intercept of a linear function from the graph given below.

Solution :

Y-intercept :

The y-intercept of the line is the value of at the point where the line crosses the y axis.

The above line intersects the y-axis at the point 3. So y-intercept  =  3

Slope :

Now we are going to mark two points (0, 3) and (-5, 1) on the line to find the slope.

Slope = Change of y/change of x

"We have to rise before we run"

We need to take downward direction from (0,3) for rise.Since we take downward direction we have to put negative sign.

Rise = -2

After that we need to move towards to the left ward 5 unit. So we have to take -5.

Run = -5

=  (-2) / (-5)  =  2/5

Hence, slope of the given line is 2/5.

By using the alternative method, we will get the same answer.

m  =  (y-y)/(x-x)

(x₁,y₁) ==> (-5, 1) and (x₂, y₂) ==> (0, 3)

m  =  (3 - 1)/(0 - (-5))

m  =  2 /(0 + 5)  =  2/5

Related topics

Apart from the stuff given above, if you want to know more about, "Finding slope and y intercept from a graph worksheet"please click here

Apart from the stuff "Finding slope and y intercept from a graph worksheet", if you need any other stuff in math, please use our google custom search here. Find the slope of a graph

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6