Question

Teacher: Find the Slope and Y-interce 1) x + 4y = 32 slope = y-intercept =

Answer 1

Answer:

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

Answer 2

Slope m= -1/4
Intercept c=8