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dmitriy555 [2]
3 years ago
9

Help me I keep getting it wrong

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

y = \frac{2}{3} x - 6 ← is in slope- intercept form

with slope m = \frac{2}{3}

Parallel lines have equal slopes , then

y = \frac{2}{3} x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = \frac{2}{3} x - 4 ← equation of parallel line

-------------------------------------------------------------------

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

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{2}{3} } = - \frac{3}{2} , then

y = - \frac{3}{2} x + c ← is the partial equation

To find c substitute (9, 2) into the partial equation

2 = - \frac{27}{2} + c ⇒ c = 2 + \frac{27}{2} = \frac{31}{2}

y = - \frac{3}{2} x + \frac{31}{2} ← equation of perpendicular line

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