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Anna35 [415]
3 years ago
13

what is the equation of a line that is parallel to the line y=3/4x+2 and passes through the point (-2,8)?

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0

Answer:

D

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{3}{4} x + 2 ← is in slope- intercept form

with slope m = \frac{3}{4}

Parallel lines have equal slopes , thus

y = \frac{3}{4} x + c ← is the partial equation

To find c substitute (- 2, 8) into the partial equation

8 = - \frac{3}{2} + c ⇒ c = 8 + \frac{3}{2} = \frac{19}{2}

Equation of parallel line is

y = \frac{3}{4} x + \frac{19}{2} → D

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