Question

(-2, -1) and (7, -3) as a equation

Answer 1

The slope-intercept form is:
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)

m = (y2 - y1)/(x2 - x1) = -2/9

To find b, think about what your (x,y) points mean:
(-2,-1). When x of the line is -2, y of the line must be -1.
(7,-3). When x of the line is 7, y of the line must be -3.

You can use either (x,y) point you want..the answer will be the same:

(-2,-1)
y = mx+b or -1 = -2/9 × -2 + b, or

Solving for b: b = -1 - (-2/9)(-2)
b = - 13/9


The equation of the line that passes through the points (-2,-1) and (7,-3) is
y = -2/9x - 13/9

Hope this would help