MrStealYourGirl15
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Point slope form to write an equation of the given line. Solve the equation for y. Please help if anyone still up!

Point Slope Form To Write An Equation Of The Given Line Solve The Equation For Y Please Help If Anyone Still Up class=

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Answer: y = [tex]\frac{4}{3}[/tex]x + [tex]\frac{16}{3}[/tex]or y - 4 = ([tex]\frac{4}{3}[/tex])(x + 1)

Step-by-step explanation:

      Point-slope form is written as (y - [tex]y_1[/tex]) = m(x - [tex]x_1[/tex]) where m is the slope and [tex](x_1,y_1)[/tex] is a point on the graph.

Given:

(y - [tex]y_1[/tex]) = m(x - [tex]x_1[/tex])

Substitute:

(y - 4) = ([tex]\frac{4}{3}[/tex])(x - - 1)

Negative times negative is a positive:

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

Add 4 to both sides and distribute the [tex]\frac{4}{3}[/tex]:

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

Simplify:

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

Combine like terms:

y = 1[tex]\frac{1}{3}[/tex]x + 5[tex]\frac{1}{3}[/tex] or y = [tex]\frac{4}{3}[/tex]x + [tex]\frac{16}{3}[/tex]or y = [tex]\frac{4}{3}[/tex]x + 5.333

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