Question

Please help!

find the equation (in terms of x) of the line through the point (-4,3) and (3,-2)

Answer 1

Answer: y= -5/7 x + 1/7

Explanation:

Answer 2

`y=-(5)/(7) x+(1)/(7)`

Explanation:

Equation of a line:
`y = mx+b`

m is the slope, and b is the y-intercept.

m =
`(rise)/(run) =(y_(2)-y_(1) )/(x_(2)-x_(1) ) = (-2-3)/(3-(-4)) =-(5)/(7)`

Now, we have
`y=-(5)/(7) x+b`

We can insert one set of points in to solve for b.

We will use the first point (-4, 3):

`3=-(5)/(7) (-4)+b`

`(5)/(7)* \:4+b=3`

`(20)/(7)+b=3`

`b=(1)/(7)`.

Equation:
`y=-(5)/(7) x+(1)/(7)`