Question

Write an equation of a line that is parallel to y=3x-2 and runs through the point (1,6)

Answer 1

y = 3x + 3

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so

y = 3x + c ← is the partial equation

To find c substitute (1, 6) into the partial equation

6 = 3 + c ⇒ c = 6 - 3 = 3

y = 3x + 3 ← equation of parallel line

Answer 2

y=3x+3

Explanation:

If equations of lines are parallel, their slopes are the same. Therefore, we can sub '3' in for the slope value in y=mx+c to get y=3x+c.

Sub in the point:

6=3(1)+c

c=6-3=3

ANS: y=3x+3