Question

05.01 MC)

In slope-intercept form, what is the equation of the line passing through the points (−4, 26) and (6, −4)? (5 points)

Question 3 options:

1)

y = −3x − 14

2)

y = 3x + 14

3)

y = −3x + 14

4)

y = −3x + 2

Answer 1

y=-3x+14

Explanation:

Using
`m=(y_(2) -y_1)/(x_2-x_1)` , plug in the two ordered pairs or points.

`m=(-4-26)/(6-(-4)) \\=(-30)/(10)\\ =-3\\m = -3`

Once you find the slope, you want to find the y-intercept. To find it you will need to use y=mx+b.

`y=mx+ b\\`

Plug in either (-4, 26) or (6, -4) and the slope m = -3 into the equation.

`-4=-3(6)+b`

Solve.

`-4=-3(6)+b\\-4=-18+b\\-4+18=b\\14=b`

Plug the slope and the y-intercept you found into y=mx+b.

`Answer: y=-3x+14`