Question

A line passes through the point (-6,8).

Determine the equation of the line if the
slope of the line is 2.

Answer 1

y = 2x + 20

Explanation:

You can put the equation into the form y = mx + b where m is the slope and b is the y-intercept.

You already have that the slope is 2,so then the equation would be y = 2x + b.

Since you know that x = - 6 and y = 8 is a solution, you can substitute those into the equation and find out what b would have to be for it to be true.

`8 = -6*2 +b \\8 = -12 +b\\b = 20`

This means that the equation is y = 2x + 20.