Question

What is the equation in slope-intercept form of a line that passes through the point (−2, −6) and has a slope of 12?

Answer 1

y = 12x + 18

Explanation:

Equation of line in slope-intercept form: y =mx +b

Here, m is the slope and b is the y-intercept.

m = 12

Substitute m =12 in the above equation,

y = 12x + b

This line passes through (-2,-6). So, plugin the point in the above equation.

-6 = 12*(-2) + b

-6 = -24 + b

-6 + 24 = b

b = 18

Equation of the line:

`\sf \boxed{\bf y = 12x + 18}`