FIND SLOPE AND Y INTERCEPT
Find the slope and y intercept :
To find the slope and y-intercept of a line, We have to convert the given line is in the form of y = mx + c
Here "m" stands for slope of the line and "c" stands for y-intercept.
Find the slope and y intercept - Examples
Example 1 :
Find the slope and y-intercept of the line 2 x + 3 y = 7
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
3 y = -2 x + 7
Divide the whole equation by 3
3 y = -2 x + 7
(3y/3) = (-2/3) x + (7/3)
y = (-2/3) x + (7/3)
Now we are going to compare this equation with y=mx + c
slope m = -2/3 and y-intercept = 7/3
Example 2 :
Find the slope and y-intercept of the straight line whose equation is 4 x - 2 y + 1 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
4 x + 1 = 2y
Divide the whole equation by 2
2 y = 4 x + 1
(2y/2) = (4x/2) x + (1/2)
y = 2 x + (1/2)
By comparing this equation with y = m x + c
slope m = 2 and y-intercept = 1/2
Example 3 :
Find the slope and y-intercept of the straight line whose equation is 3 x - 9 y + 3 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
3 x + 3 = 9 y
Divide the whole equation by 9
(9 y/9) = (3 x/9) + (3/9)
y = (1/3) x + (1/3)
By comparing this equation with y = m x + c
slope m = 1/3 and y-intercept = 1/3
Example 4 :
Find the slope and y-intercept of the straight line whose equation is 5 x + 7 y + 1 = 0.
Solution :
To find the slope and y-intercept of the line, we have to change the given equations in slope intercept form.
7 y = - 5 x - 1
Divide the whole equation by 7
(7 y/7) = (-5 x/7) + (-1/7)
y = (-5/7) x + (-1/7)
By comparing this equation with y = m x + c
slope m = -5/7 and y-intercept = -1/7
Related topics
- Find the slope from two points
- Find the slope of a graph
- Find the missing coordinate using slope
Apart from the stuff given above, if you want to know more about, "Find the slope and y intercept", please click here
Apart from the stuff "Find the slope and y intercept", 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
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
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
-
Mixed Questions on Mean Median and Mode for Ungrouped Data
Jul 16, 19 10:55 PM
Mixed Questions on Mean Median and Mode for Ungrouped Data
-
Online Math Calculator
Jul 16, 19 10:20 AM
Online Math Calculator | Onlinemath4all
-
4x4 Matrix Addition Calculator
Jul 16, 19 09:27 AM
4x4 matrix addition calculator