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RSB [31]
3 years ago
12

Write the equation of a line parallel to y=3x-8 that goes through the point (-4,7). Write the final answer in slope intercept fo

rm.
Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

y = 3x + 19

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 = 3x - 8 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , thus

y = 3x + c ← is the partial equation

To find c substitute (- 4, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 3x + 19 ← equation of parallel line

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