Question

What is the slope of the line that passes through (-2, 3) and (4, -5)?
b. What is the equation of the line with slope 4 and y-intercept at (0, -3)?

Answer 1

The equation of a line is y = mx + b, where m = slope. Insert the points into the formula to get:

3 = -2m + b
-5 = 4m + b

Isolate and solve for b in both equations to get:

b = 2m - 3
b = -4m -5

Set b = b to get

2m - 3 = -4m - 5

Place like terms on the same side to get:

4m + 2m = -5 + 3

Combine like terms to get:
6m = -2

Divide both sides by 6 to get
m = -2/6

Reduce the fraction to get
m = -1/3

Therefore, the slope of the line is m = -1/3

Answer 2

this was a good explanation but theres are my answer choices