Question

Write an equation that passes through a pair of points

a. y= x+3

b. y= x-3

c. y= -x+2

d.y= -x-2

Answer 1

C.
`y = -x + 2`

Explanation:

First, find the slope, m, of the line that passes through the two given points.

Slope =
`(rise)/(run) = (-2)/(2) = -(1)/(1) = -1`

Next, determine the y-intercept, b.

The y-intercept is where the line intercepts the y-axis. The line intercepts the y-axis at y = 2. Therefore, b = 2.

Now, to get an equation of the line, substitute m = -1, and b = 2 in
`y = mx + b`.

✅The equation would be:

`y = -1x + 2`

`y = -x + 2`