What is the equation of a line that contains point (4, –3) and is PARALLEL to –4x + y = 7?
2 answers:
Answer:
(4,3),y=(7)/(4)x+1
Step-by-step explanation:
To find an equation that is parallel to y = 7 4 x + 1 y=74x+1, the slopes must be equal. Using the slope of the equation, find the parallel line using the point-slope formula. ( 4 , 3 ) (4,3) m = 7 4
Using the point-slope form y − y 1 = m ( x − x 1 ) y-y1=m(x-x1), plug in m = 7 4 m=74, x 1 = 4 x1=4, and y 1 = 3 y1=3. y − ( 3 ) = ( 7 4 ) ( x − ( 4 ) )
Solving for y:
Multiply − 1 -1 by 3 3. y − 3 = ( 7 4 ) ( x − ( 4 ) ) y-3=(74)(x-(4)) Simplify ( 7 4 ) ( x − ( 4 ) ) (74)(x-(4)).
y − 3 = 7 x 4 − 7
y = 7 x 4 − 4 y=7x4-4 Reorder terms. y = 7 4 x − 4
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