Final answer:
To write the given equation in slope-intercept form, isolate y on one side of the equation by following the steps provided. The first equation in slope-intercept form is y = -8x - 6.
Step-by-step explanation:
To write the given equation in slope-intercept form, we need to isolate y on one side of the equation. Let's start by expanding the brackets:
6 - 4y - 3x = 5x - 5y
Combine like terms:
-4y - 3x = 5x - 5y - 6
Move all the terms involving y to one side:
-4y + 5y = 5x + 3x - 6
Simplify:
y = -8x - 6
So, the first equation in slope-intercept form is y = -8x - 6.
Learn more about Slope-Intercept Form