Question

Complete the point slope equation of the line through(-1,-10)and(5,2).
y-6=​

Answer 1

y - 6 = 2(x - 7)

Explanation:

The point-slope of an equation of a line:

`y-y_1=m(x-x_1)`

m - slope

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

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

`m=(2-(-10))/(5-(-1))=(12)/(6)=2`

Put the value of the slope and the coordinateso f the point (5, 2), to the equation of a line:

`y-2=2(x-5)`

In the question we have y - 6 = ...

Therefore

`y-2=2(x-5)` subtract 4 from both sides

`y-6=2(x-5)-4` use the distributive property

`y-6=2x-10-4`

`y-6=2x-14` distributive

`y-6=2(x-7)`