Question

Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -2.

a. (y-5) = -2(x + 1)
b. (y + 5) = -2 (x-1)
c. (y + 1)=-2(x-5)

Answer 1

The correct point-slope form of the equation for the line that passes through (-1, 5) with a slope of -2 is option a. (y-5) = -2(x + 1).

Step-by-step explanation:

The student is asking to find the point-slope form of the equation of a line that passes through a given point with a specified slope. The general formula for point-slope form is y - y1 = m(x - x1), where (x1, y1) is the point the line passes through and m is the slope of the line. In this case, the point given is (-1, 5) and the slope is -2.

To write the equation in point-slope form, we plug in the coordinates of the point and the value of the slope into our formula:

(y - 5) = -2(x + 1)

Therefore, the correct option for the equation in point-slope form is option a. (y-5) = -2(x + 1).