Question

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

Answer 1

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

Answer 2

Answer:

Equation of the line is y = 4x + 19

Step-by-step explanation:

slope, m = 4

$y = mx + c$

consider (-3, 7):

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

equation:

$y = 4x + 19$