Question

Given the function 4x + 8y = 48, rewrite the function in slope-intercept form.

a) y = 4x + 12
b) y = 4x - 12
c) y = -0.5x + 6
d) y = -0.5x - 6

Answer 1

The function 4x + 8y = 48 is rewritten in slope-intercept form by isolating y to get y = -0.5x + 6, which corresponds to option (c).

Step-by-step explanation:

To rewrite the function 4x + 8y = 48 in slope-intercept form, we need to solve for y, making the equation look like y = mx + b, where m is the slope and b is the y-intercept. Starting with the original equation, we will isolate y:

• Subtract 4x from both sides: 8y = -4x + 48
• Divide every term by 8 to solve for y: y = (-4/8)x + (48/8)
• Simplify the fractions: y = -0.5x + 6

This gives us the slope-intercept form of the function, which is y = -0.5x + 6, matching option (c).