Put the following equation of a line into slope-intercept form, simplifying all fractions.

Question

8, y, minus, 4, x, equals, 24
8y−4x=
24

Answer 1

To put the equation \(8y - 4x = 24\) into slope-intercept form (which is \(y = mx + b\)), we need to solve for \(y\).

Starting with the equation: \[ 8y - 4x = 24 \]

First, add \(4x\) to both sides: \[ 8y = 4x + 24 \]

Next, divide every term by \(8\) to isolate \(y\): \[ y = \frac{4}{8}x + \frac{24}{8} \]

This simplifies to: \[ y = \frac{1}{2}x + 3 \]

So, the equation in slope-intercept form is: \[ y = \frac{1}{2}x + 3 \]