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
