On the graph of the equation 8x – 3y = 24, what is the value of the y-intercept?
To find the y-intercept of a linear equation, we need to set x = 0 and solve for y. In this case, the equation is 8x - 3y = 24.
Step 1: Set x = 0.
8(0) - 3y = 24
Simplifying, we get:
0 - 3y = 24
-3y = 24
Step 2: Solve for y.
Divide both sides of the equation by -3:
y = 24 / -3
y = -8
Therefore, the y-intercept of the equation 8x - 3y = 24 is -8.