Question

What is the equation of the line that passes through the point (-4, -9) and has a slope of 1/2?

A) y = (1/2)x - 7
B) y = (1/2)x + 7
C) y = (1/2)x + 11
D) y = (1/2)x - 11

Answer 1

The equation of the line that passes through the point (-4, -9) and has a slope of 1/2 is y = (1/2)x - 7.

Step-by-step explanation:

To find the equation of a line, we can use the point-slope form. The point-slope form of a line is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given the point (-4, -9) and a slope of 1/2, we can substitute these values into the point-slope form to get y - (-9) = 1/2(x - (-4)). Simplifying this equation gives y + 9 = 1/2(x + 4).

Thus, the equation of the line is y = (1/2)x - 7, which corresponds to option A.