Final answer:
To convert 4x - 20y = -160 into slope-intercept form, we isolate y by dividing the entire equation by 20, resulting in the slope-intercept form y = (1/5)x + 8.
Step-by-step explanation:
To put the equation 4x - 20y = -160 into slope-intercept form, we start by solving for y.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
First, add 20y to both sides of the equation to get :
=> 4x = 20y - 160.
Next, add 160 to both sides of the equation so that all the y-terms are on one side and the constants on the other:
=> 4x + 160 = 20y.
Now, divide every term by 20 to solve for y:
=> y = (1/5)x + 8.
This is the equation in slope-intercept form, where the slope m is 1/5, and the y-intercept b is 8.