# 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

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