Question

Write the equation of the line that is parallel to y=4x+12 through the point (2,3).​

Answer 1

Answer:

y = 4x - 5

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 + 12 ← 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 (2, 3 ) into the partial equation

3 = 8 + c ⇒ c = 3 - 8 = - 5

y = 4x - 5 ← equation of parallel line