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The following line goes through the points (-2, 7), (0, 1) and (2, -5) as shown. Write the equation in slope-intercept form of the the line that is perpendicular to this given red line and has the same y-intercept. (3 points)

The Following Line Goes Through The Points 2 7 0 1 And 2 5 As Shown Write The Equation In Slopeintercept Form Of The The Line That Is Perpendicular To This Give class=

Sagot :

Answer:

[tex]1=\frac{1}{3} x+1[/tex]

Step-by-step explanation:

Find the slope of (0, 1) and (2,-5)

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\frac{-5-1}{2-0}[/tex]

[tex]\frac{-6}{2}[/tex], or -3

Using point-slope form ([tex]y-y_{1}=m(x-x_{1})[/tex])

[tex]y-1=\frac{1}{3} (x-0)\\y-1=\frac{1}{3}x\\y=\frac{1}{3} x+1[/tex]

(note: one-third is the inverse of -3)

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