Which equation represent a line parralel to y=4x+1 and passes through (1,7)?

y=4x+3

Step-by-step explanation:

3 plus 4 is 7, 0 plus 1 is 1, so yeah, same slope and y-intercept is in a spot so the next point on the line is (1,7)

y = 4x + 3

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 (1, 7 ) into the partial equation

7 = 4 + c ⇒ c = 7 - 4 = 3

y = 4x + 3 ← equation of parallel line

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: