Question

A line passes through the points (-2, 9) and (1, 3).

Provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form.

Answer 1

slope = -2

y-intercept = 5

Explanation:

1) Find slope:

`(3-9)/(1-(-2))` =
`(-6)/(3)` = -2

-2 = slope

2) Find y intercept trough point slope and slope-intercept forms

y - y1 = m (x - x1)

y - 9 = -2 (x + 2)

y - 9 = -2x -4

+ 9 + 9

y = -2x + 5

y = mx + b with b being the y-intercept

5 = y-intercept