Question

Write in slope-intercept form an equation of the line that passes through the points (−4, 2) and (6,−3).

y=

Answer 1

y=-1/2x+1/2 that’s the equation I drew a graph too

Answer 2

y =
`-(1)/(2)`x

Explanation:

Slope-intercept form: y = mx + b

[] m is the slope

[] b is the y-intercept

Slope

We can find slope by using change in y over change in x:

`(-3-2)/(6--4)=(-3-2)/(6+4) =(-5)/(10) =(-1)/(2)`

[] So our slope is
`-(1)/(2)`

Y-intercept

We will plug in one of the points into our equation so far, and solve for b:

y =
`-(1)/(2)`x + b

(2) =
`-(1)/(2)`(-4) + b

2 = 2 + b

0 = b

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather