Question

Find the equation of the line through the points (-9,3) and (-6,-3):

A. y = -2x - 15
B. y = 2x - 15
C. y = -2x + 15
D. y = 2x + 15

Answer 1

The equation of the line passing through the points (-9,3) and (-6,-3) is found by calculating the slope, which is -2, and then using a point to find the y-intercept. The final equation of the line is y = -2x - 15.

Step-by-step explanation:

The question asks to find the equation of the line that passes through the points (-9,3) and (-6,-3). To find this equation, we can first calculate the slope (m) of the line using the formula:

m = (y2 - y1) / (x2 - x1).

Substituting the given points, we get:

m = (-3 - 3) / (-6 + 9)

m = -6 / 3

m = -2

Now, using the slope and one of the points, we can find the y-intercept (b) of the line using the point-slope form of the line equation:

y - y1 = m(x - x1)

Substituting m and point (-9,3), we get:

y - 3 = -2(x + 9)

y = -2x - 18 + 3

y = -2x - 15

Thus, the equation of the line is y = -2x - 15, which is option A.