Question

Write an equation in point slope for the line that passes through the given points

(-4,6), (-2,22)

Answer 1

y - 6 = 8(x + 4)

Explanation:

The point-slope form is
`y-y_(1)=m(x-x_(1))`, where y1 and x1 are any point on the line and m is the slope.

The formula for slope is
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

By plugging in the points we have, we get:
`(22-6)/(-2-(-4))=8=m`

We can use any of the two pairs of points to represent y1 and x1 so if we choose (-4,6), we get:

`y-6=8(x-(-4))\\y-6=8(x+4)`