Question

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Parallel to the line y = 3x; containing the point ( -4,3) The equation is a (Type an equation. Simplify your answer.)

Answer 1

y = 3x + 15

Explanation:

the equation of a line in slope- intercept form is

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

given equation of line

y = 3x ← in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (- 4, 3 ) into the partial equation

3 = 3(- 4) + c = - 12 + c ( add 12 to both sides )

15 = c

y = 3x + 15 ← equation of parallel line