Teacher:

Find the Slope and Y-interce

1)

x + 4y = 32

slope =

y-intercept =

Slope = - 1/4

y-intercept = 8

Step-by-step explanation:

Given a line equation, x + 4y = 32

To get the slope and y-intercept from this equation, we shall represent it in the slope form of a line equation

The slope form of a line equation is given as

y = mx + c

Where;

m = slope

c = y-intercept

Step 1

x + 4y = 32

Subtract x from both sides of the equation

x + 4y - x = - x + 32

4y = - x + 32

Step 2

Divide both sides by 4 to make y subject

4y/4 = - x/4 + 32/4

y = - x/4 + 8

y = (-1/4) x + 8

This equation corresponds to

y = mx + c

m = - 1/4

c = 8

Therefore, the slope, m = - 1/4

The y-intercept, c = 8

Slope m = - 1/4

Intercept c=8