Question

Complete the point-slope equation of the line through (-1,-10) and (5,2).

Answer 1

If your equation starts off as y-2= then this your Answer: y-2=2(x-5)

Step-by-step explanation: the general point-slope form is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point of the line.

Let's find the slope between(5,2) and (-1,-10)

Slope= 2-(-10)/5-(-1)

=12/6

=2

The incomplete equation starts off with y-2, so we need to use the point (5,2):

Y-2=2(x-5)

Answer 2

The point-slope form

`y-y_1=m(x-x_1)\\\\m=(y_2-y_1)/(x_2-x_1)`

We have the points (-1, -10) and (5, 2). Substitute:

`m=(2-(-10))/(5-(-1))=(12)/(6)=2\\\\y-(-10)=2(x-(-1))\\\\\boxed{y+10=2(x+1)}`