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Given MN shown below with M (-6,1) and N (3,-5) find the equation of the line that runs through P and is parallel to Mn. please show all work.

Given MN Shown Below With M 61 And N 35 Find The Equation Of The Line That Runs Through P And Is Parallel To Mn Please Show All Work class=

Sagot :

Answer:

y = [tex]-\frac{2}{3}x[/tex] + 5

Step-by-step explanation:

Find the slope of MN, which is [tex]\frac{1-(-5)}{-6-3} = \frac{6}{-9} = -\frac{2}{3}[/tex]

Then, use the formula: y-y₁ = m(x-x₁)

Use point P as (x₁, y₁)

Plugging in x₁ = 6 and y₁ = 1 and simplifying, we find that:

y - 1 = [tex]-\frac{2}{3}[/tex] (x - 6)

Simplify to find that:

y = [tex]-\frac{2}{3}x[/tex] + 4 + 1

y = [tex]-\frac{2}{3}x[/tex] + 5

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