Question

Find the equation of the line that passes through the points:
(-2, 4) and (1, 10)
​

Answer 1

The equation of the line that passes through the points

(-2,4) and (1,10)

is

y=2x+8

Explanation:

Answer 2

y = 2x+8

Explanation:

First we find the slope

m = (y2-y1)/(x2-x1)

= (10-4)/(1- -2)

= (10-4)/(1+2)

=6/3

=2

We can use the slope intercept form of a line

y = mx+b where m is the slope and b is the y intercept

y =2x +b

Substitute a point into the equation

10 = 2(1)+b

10 = 2+b

b = 8

y = 2x+8