Question

Choose the point-slope form of the equation below that represents the line that passes through the point (6, -3) and has a slope of 1/2."

a) Oy-6-1 +3)
b) Oy = 11 x 6
c) Oy+3 ==6)
d) O x-2y = 12

Answer 1

The point-slope form of the equation for a line passing through the point (6, -3) with a slope of 1/2 is y = (1/2)x - 6.

Step-by-step explanation:

To find the point-slope form of the equation for a line passing through a given point with a given slope, we use the form y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point and m is the given slope.

In this case, the given point is (6, -3) and the slope is 1/2.

Substituting these values into the point-slope form, we get y - (-3) = (1/2)(x - 6), which simplifies to y + 3 = (1/2)x - 3.

Therefore, the correct equation in point-slope form is y = (1/2)x - 6.