Question

What is the equation in slope-intercept form of a line that passes through the point (-2,-6) and has a slope of 1/2?

Answer 1

Equation of line in slope-intercept form is given as y = mx + c, where m is the slope and c is the y-intercept.

Since slope of line is 1/2, equation of line is y = 1/2x + c.

Substitute (-2,-6) into equation to find c.

-6 = 1/2(-2) + c

c = -5

Hence, equation of line is y = 1/2x - 5.