Question

Determine the slope, m, and y-intercept, b, of a line that passes through the points and (– 2, 12) (4, – 15). m = b = () (Blank 2) Blank 1 options –4.5 –1.5 0.5 Blank 2 options 3 9 11

Answer 1

The slope, m, of the line passing through the given points is -4.5, and the y-intercept, b, is 3.

Step-by-step explanation:

The slope, m, of a line passing through two points can be calculated using the formula:

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

The y-intercept, b, can be found by substituting the coordinates of one of the points in the equation y = mx + b and solving for b.

Using the given points: (-2, 12) and (4, -15), we can find:

m = (-15 - 12) / (4 - (-2)) = -27 / 6 = -4.5

Substituting the first point (-2, 12) into the equation, we have:

12 = -4.5(-2) + b

Solving for b, we get:

b = 3