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Nimfa-mama [501]

3 years ago

14

Write the slope-intercept form of the equation that passes through the point (1,5) and is perpendicular to the line y =-x + 3

1 answer:

Diano4ka-milaya [45]3 years ago

4 0

Answer:

y = -1/7x - 23/7

Step-by-step explanation:

Step 1: Find slope <em>m</em>

m = (-4 + 3)/(5 + 2)

m = -1/7

y = -1/7x + b

Step 2: Find <em>b</em>

-3 = -1/7(-2) + b

-3 = 2/7 + b

b = -23/7

Step 3: Rewrite equation

y = -1/7x - 23/7

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-15 + 12x = 5x + 7 -3x<br> SOLVE FOR X

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Answer: $x=\frac{11}{5}$

<u>Simplify both sides of the equation</u>

<u></u> $-15+12x=5x+7+-3x$ <u></u>

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<u>Subtract 2x from both sides</u>

<u></u> $12x-15-2x=2x+7-2x\\10x-15=7$ <u></u>

<u></u>

<u>Divide both sides by 10</u>

<u></u> $\frac{10x}{10} =\frac{22}{10}$ <u></u>

<u></u> $x=\frac{11}{5}$ <u></u>

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