Question

Find the slope-intercept form of the equation of the line parallel to y=−2x+3, passing through (3, -7). y=−1/2x−7

y=1/2x−17/2
y=−2x−1
y=2x−7
​

Answer 1

y = - 2x - 1

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 line

y = - 2x + 3 ← 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 (3, - 7 ) into the partial equation

- 7 = - 2(3) + c = - 6 + c ( add 6 to both sides )

- 1 = c

y = - 2x - 1 ← equation of parallel line