Question

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

Answer 1

Answer:

y - 6 = 2(x - 7)

Step-by-step explanation:

The point-slope of an equation of a line:

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

m - slope

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{2-(-10)}{5-(-1)}=\dfrac{12}{6}=2$

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

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