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amm1812
3 years ago
12

Find an equation in slope intercept form for the line through point P(-3, 2) and perpendicular to the line

Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

We require to find the slope m of the line joining the 2 given points

To find m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2,3) and (x₂, y₂ ) = (1, - 2)

m = \frac{-2-3}{1-2} = \frac{-5}{-1} = 5

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{5}

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ), thus

y = - \frac{1}{5} x + c ← is the partial equation of the perpendicular line

To find c substitute (- 3, 2) into the partial equation

2 = \frac{3}{5} + c ⇒ c = \frac{7}{5}

y = - \frac{1}{5} x + \frac{7}{5} ← perpendicular equation

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This question includes some misspelled words; here is the correct question:

Which point of view is most likely to be unreliable in a story?

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Explanation:

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