Question

Determine the equation of the line passing through the point (-7, 9) with the given equation

Y = (1/14)x - 2.

A.y = (1/14)x - 2
B.y = (1/14)x + 9
C.y = (1/14)x - 16
D.y = (1/14)x - 3

Answer 1

The equation of the line passing through the point (-7, 9) with the given equation y = (1/14)x - 2 is y = (1/14)x - 1/7.

Step-by-step explanation:

The equation of the line passing through the point (-7, 9) with the given equation y = (1/14)x - 2 can be found using the point-slope form of a line, which is y - y1 = m(x - x1). Here, the given point is (-7, 9) and the slope (m) is 1/14. Substituting these values into the point-slope form, we get:

y - 9 = (1/14)(x - (-7))

Simplifying, we have:

y = (1/14)x + 9/14 - 9

y = (1/14)x - 2/14

y = (1/14)x - 1/7