Question

Find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)

Answer 1

Answer:

y = 2x - 7

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

with slope m = 2

Parallel lines have equal slopes , then

y = 2x + c ← is the partial equation

To find c substitute (5, 3 ) into the partial equation

3 = 10 + c ⇒ c = 3 - 10 = - 7

y = 2x - 7 ← equation of parallel line

Answer 2

Answer:

y = 2x - 7

Step-by-step explanation:

First line: y = 2x + 3 , m = 2

Second line: m = 2 and pass ( 5 , 3 )

y - 3 = 2( x - 5 ) ⇔ y = 2x - 7