Final answer:
To write the equation 4(x - 10) = -2y in slope-intercept form, simplify the equation, divide it by -2, and rearrange to have y on the left side: y = 2x + 20.
Step-by-step explanation:
To write the equation 4(x - 10) = -2y in slope-intercept form, we need to isolate y and express it in terms of x. Let's start by simplifying the equation:
4(x - 10) = -2y
4x - 40 = -2y
Next, divide both sides of the equation by -2:
2x + 20 = y
Finally, we rearrange the equation to have y on the left side:
y = 2x + 20
So, the equation 4(x - 10) = -2y can be written in slope-intercept form as y = 2x + 20.
Learn more about Writing equations in slope-intercept form