# FIND SLOPE AND Y INTERCEPT FROM THE EQUATION

To find slope and y-intercept from the equation, we have to compare the given equation with slope intercept form

y = mx + b

Here m is slope and b is y-intercept

Find slope and y intercept of the line given below.

Problem 1 :

x + 4y = 8

Solution :

x + 4y = 8

The given equation is in standard form, to convert this equation to slope intercept form.

4y = - x + 8

Divide each side by 4.

y = -x/4 + 8/4

y = (-1/2) x + 2

The above equation is in the form y = mx + b

Then,

Slope (m) = -1/2

y-intercept (b) = 2

Problem 2 :

2x - 6y = -12

Solution :

2x - 6y = -12

-6y = -2x - 12

Divide each side by -6.

y = (-2/-6) x + (-12/-6)

y = (1/3) x + 2

The above equation is in the form y = mx + b

Then,

Slope (m) = 1/3

y-intercept (b) = 2

Problem 3 :

y = - 2

Solution :

y = 0x - 2

The above equation is in the form y = mx + b

Then,

Slope (m) = 0

y-intercept (b) = - 2

Problem 4 :

5x - y = 3

Solution :

5x - y = 3

-y = - 5x + 3

y = 5x - 3

The above equation is in the form y = mx + b

Then,

Slope (m) = 5

y-intercept (b) = - 3

Problem 5 :

-5x + 10y = 20

Solution :

-5x + 10y = 20

10y = 5x + 20

Divide each side by 10.

y = (5/10) x + (20/10)

y = (1/2) x + 2

The above equation is in the form y = mx + b

Then,

Slope (m) = 1/2

y-intercept (b) = 2

Problem 6 :

-x - y = 6

Solution :

-x - y = 6

-y = x + 6

y = - x - 6

The above equation is in the form y = mx + b

Then,

Slope (m) = - 1

y-intercept (b) = - 6

Problem 7 :

2.5x - 5y = - 15

Solution :

2.5x - 5y = - 15

-5y = -2.5x - 15

5y = 2.5x + 15

Divide each side by 5.

y = (2.5/5) x + (15/5)

y = 0.5 x + 3

The above equation is in the form y = mx + b

Then,

Slope (m) = 0.5

y-intercept (b) = 3

Problem 8 :

x = - 5/2

Solution :

x = - 5/2

Since x = - 5/2 is a vertical line, there is no y-intercept and the slope is undefined.

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