Question

Standard form for a line parallel to the line y = 5x - 12 and passing through the

point (-2,-6).

Answer 1

5x - y = - 4

Explanation:

the equation of a line in slope- intercept form is

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

y = 5x - 12 ← is in slope- intercept form

with slope m = 5

• Parallel lines have equal slopes , then

y = 5x + c ← is the partial equation

to find c substitute (- 2, - 6 ) into the partial equation

- 6 = - 10 + c ⇒ c = - 6 + 10 = 4

y = 5x + 4 ← in slope- intercept form ( subtract 5x from both sides )

- 5x + y = 4 ( multiply through by - 1 )

5x - y = - 4 ← in standard form