Question

Write the equation of the line that is parallel to the line 3x − y = −3 and passes through the point (4, −2).

y = −one thirdx − 6

y = −one thirdx − 14

y = 3x − 6

y = 3x − 14

Answer 1

Parallel lines have equal slopes.
Put your equation in slope-intercept form first.

Answer 2

After that, plug in (4,-2) and your slope (m)
into y = mx + b
and solve for b to find your y intercept of the equation.

Answer 3

since, y=mx+b....eq#1
y=3x+3
m=3 and b= 3
in parallel's condition slope remains same
that is m =3
and (x,y)=(4,-2)
-2=3(4)+b
-2-12=b
b=-14
now put it in eq#1
y=3x-14
it means that D is the correct answer