Question

Write the equation of the line in slope-intercept form (y = mx + b).

x-intercept = 8
y-intercept = -12
Answer:
y =

Answer 1

y = 3/2x - 12

Explanation:

X-intercept located at (8,0)

Y-intercept located at (0, -12)

The equation is y = mx + b

m = the slope

b = y-intercept

Slope = rise/run or (y2 - y1) / (x2 - x1)

2 points (8,0) (0, -12)

We see the y decrease by 12 and the x decrease by 8, so the slope is

m = -12 / -8 = 3/2

Y-intercept is = -12

So, the equation is y = 3/2x - 12

Answer 2

Answer: y =
`(3)/(2)`x - 12

Explanation:

First, we will find the slope of the equation. The x-intercept means that when x = 8, y = 0 giving us the point (8, 0). The y-intercept means that when y = -12, x = 0, giving us the point (0 -12).

Now, we will find change in y over change in x (the slope).

`\displaystyle (-12-0)/(0-8)=(-12)/(-8) =(3)/(2)`

Lastly, we can write our equation using the slope and y-intercept.

y =
`(3)/(2)`x - 12