FINDING SLOPE AND Y INTERCEPT FROM THE GIVEN EQUATION
Finding Slope and y Intercept from the Given Equation :
Here we are going to see some practice problems on finding slope and y-intercept from the given equation.
Finding Slope and y Intercept from the Given Equation - Examples
Question 5 :
Find the slope and y-intercept of the line whose equation is
(i) y = x + 1
Solution :
To find the slope and y-intercept of any line, we have to compare the given equation with y = mx + c.
Here m stands for slope and c stands for y-intercept.
y = x + 1
y = mx + c
By comparing the given equation with general equation, we get slope (m) = 1 and y-intercept c = 1
(ii) 5x = 3y
Solution :
3y = 5x
y = (5/3)x
Slope m = 5/3, y-intercept (c) = 0
(iii) 4x - 2y + 1 = 0
Solution :
2y = 4x + 1
y = (4/2)x + (1/2)
y = 2 x + (1/2)
Slope m = 2, y-intercept (c) = 1/2
(iv) 10x + 15y + 6= 0
Solution :
15y = -10x - 6
y = (-10/15)x - (6/15)
y = (-2/3) x - (2/5)
Slope m = -2/3, y-intercept (c) = 2/5
Question 6 :
Find the equation of the straight line whose
(i) slope is -4 and passing through (1, 2)
Solution :
Slope (m) = -4 (x₁,y₁) ==> (1, 2)
(y - y₁) = m (x - x₁)
(y - 2) = -4(x - 1)
y - 2 = -4x + 4
4x + y - 2 - 4 = 0
4x + y - 6 = 0
(ii) slope is 2/3 and passing through (5, -4)
Solution :
Slope (m) = 2/3, (x₁,y₁) ==> (5, -4)
(y - y₁) = m (x - x₁)
(y - (-4)) = (2/3)(x - 5)
(y + 4) = (2/3) (x - 5)
3(y + 4) = 2(x - 5)
3y + 12 = 2x - 10
2x - 3y - 10 - 12 = 0
2x - 3y - 22 = 0
After having gone through the stuff given above, we hope that the students would have understood "Finding Slope and y Intercept from the Given Equation".
If you need any other stuff in math, please use our google custom search here.
You can also visit our following web pages on different stuff in math.
WORD PROBLEMS
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
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
Trigonometry word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
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
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 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
Recent Articles
-
Psat Practice Math Worksheet 2
Jan 18, 20 06:32 PM
Psat Practice Math Worksheet 2
-
Psat Practice Math Worksheet 1
Jan 18, 20 06:21 PM
Psat Practice Math Worksheet 1
-
Practice Problems on Whole Numbers
Jan 18, 20 08:53 AM
Practice Problems on Whole Numbers - Practice problems in the form of test with solution
