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Elenna [48]
3 years ago
8

Passes through (−3, 7) and is parallel to y = 4x − 1.

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0

Answer:

y = 4x + 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 = 4x - 1 ← is in slope- intercept form

with slope m = 4

Parallel lines have equal slopes, then

y = 4x + c ← is the partial equation

To find c substitute (- 3, 7) into the partial equation

7 = - 12 + c ⇒ c = 7 + 12 = 19

y = 4x + 19 ← equation of parallel line

Stells [14]3 years ago
4 0

Answer:

<u>Equation</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>line</u><u> </u><u>is</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>4</u><u>x</u><u> </u><u>+</u><u> </u><u>1</u><u>9</u>

Step-by-step explanation:

slope, m = 4

y = mx + c

consider (-3, 7):

7 = (4 \times  - 3) + c \\ 7 =  - 12 + c \\ c = 19

equation:

y = 4x + 19

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