Question

Write an equation for a line parallel to y=5x+3 and passing through the point (4,16). Be sure to write your answer in slope. intercept form, y=mx+b

Answer 1

y = 5x - 4

Explanation:

the equation of a line in slope- intercept form is

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

given the equation of the line

y = 5x + 3 ← in slope- intercept form

with slope m = 5

• Parallel lines have equal slopes , then

y = 5x + c ← is the partial equation of a parallel line

to find c , substitute the point (4, 16 ) into the partial equation

16 = 5(4) + c = 20 + c ( subtract 20 from both sides )

- 4 = c

y = 5x - 4 ← equation of parallel line