Question

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

Answer 1

y = 4x + 19

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

Equation of the line is y = 4x + 19

Explanation:

slope, m = 4

`y = mx + c`

consider (-3, 7):

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

equation:

`y = 4x + 19`