write an equation of the ine, inpoint slope form, that pases through the given points

Question

(-2,-15),(9,-18)

Answer 1

To find the equation of the line in point-slope form, you need to use the formula:

y - y1 = m(x - x1)

where (x1, y1) is a point on the line, and m is the slope.

First, let's find the slope (m) using the given points (-2, -15) and (9, -18):

m = (y2 - y1) / (x2 - x1)
m = (-18 - (-15)) / (9 - (-2))
m = (-18 + 15) / (9 + 2)
m = -3 / 11

Now, we have the slope (m) as -3/11. Let's choose one of the points; let's use (-2, -15) as (x1, y1):

y - (-15) = (-3/11)(x - (-2))

Simplifying:

y + 15 = (-3/11)(x + 2)

Therefore, the equation of the line in point-slope form that passes through the points (-2, -15) and (9, -18) is:

y + 15 = (-3/11)(x + 2)