Question

Write the equation of the line that is parallel to the line 4x - 3y = -12 and passes through the point (-3, 4).

A. y = four thirdsx + 8
B. y = four thirdsx + 3
C. y = -three fourthsx + 8
D. y = -three fourthsx + 3

Answer 1

Leave coefficients of x and y the same, then use form:
A (x − x0) + B (y − y0) = 0

4 (x + 3) − 3 (y − 4) = 0
4x + 12 − 3y + 12 = 0
−3y = −4x − 24
y = 4/3 x + 8

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Alternate method:

Line 4x − 3y has slope 4/3, so parallel line will also have slope 4/3
Parallel line passes through point (−3, 4)
Use point−slope form : y − y0 = m (x − x0)

y − 4 = 4/3 (x + 3)
y = 4/3 x + 4 + 4
y = 4/3 x + 8

Answer 2

Whoa...

Answer 3

Thanks!