Change the equation from standard form ti slope intercept form by solving

Question

For y 8x-4y-=24

Answer 1

To solve for y and change the equation from standard form to slope-intercept form, we'll rearrange the equation 8x - 4y = 24.

8x - 4y = 24

Let's begin by isolating the term with y on one side of the equation:

-4y = -8x + 24

Next, divide every term of the equation by -4 to solve for y:

y = (-8x + 24)/(-4)

Simplifying the equation further:

y = 2x - 6

Thus, the equation is now in slope-intercept form (y = mx + b), where m represents the slope (m = 2) and b represents the y-intercept (b = -6).