I need help with slopes and lines.

Determine the slope of each line

a line through points (-1, 2) and (2, -7)

Slope of a line through two points (x1, y1) and (x2, y2) is (y2 - y1)/(x2 - x1).

So substituting the given points we have (-7 - 2)/(2 - (-1)) i.e -9/3 = 3

Oops. it should be -3

g is correct.

To determine the slope of a line passing through two given points, you can use the slope formula. The slope formula is:

slope = (y2 - y1) / (x2 - x1)

Where (x1, y1) and (x2, y2) are the coordinates of the two points you are given.

In this case, you are given the points (-1, 2) and (2, -7). Plugging these values into the formula, you get:

slope = (-7 - 2) / (2 - (-1))
= (-9) / (2 + 1)
= -9 / 3
= -3

Therefore, the slope of the line passing through the points (-1, 2) and (2, -7) is -3.