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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

Respuesta :

alyssagosha101

Answer:

y=-3x+14

Step-by-step explanation:

Using [tex]m=\frac{y_{2} -y_1}{x_2-x_1}[/tex] , plug in the two ordered pairs or points.

[tex]m=\frac{-4-26}{6-(-4)} \\=\frac{-30}{10}\\ =-3\\m = -3[/tex]

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

[tex]y=mx+ b\\[/tex]

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

[tex]-4=-3(6)+b[/tex]

Solve.

[tex]-4=-3(6)+b\\-4=-18+b\\-4+18=b\\14=b[/tex]

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

[tex]Answer: y=-3x+14[/tex]

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