Question

What is an equation of the line that passes through the points (0,8) and (-8,-4)? What’s the answer in fully reduced form

Answer 1

Answer:

y = 3/2(x)+8

Step-by-step explanation:

We can find the equation of the line by first finding the slope and the y-intercept. Then we can write the equation in slope-intercept for which is

y = mx+b where m is the slope and b is the y-intercept.

We are given two points (0,8) and (-8,-4). (0,8) is the y intercept which is the value of b. Since we have found the y-intercept, all we need to do now is find the slope given these two points.

m = (y2-y1)/(x2-x1)

m = (-4-8)/(-8-0)

m = (-12)/(-8)

m = 12/8

m = 3/2

So, the equation is y = 3/2(x)+8 and has been fully reduced.