What is the equation of the line parallel to y = 4x + 4 and goes through the point (-2, -3)?

Answer 1

Say the equation of the line being asked is f(x)=m*x+b. Since it is parallel to y=4x+4, the slope of f should be the same as y=4x+4, so m=4, and f(x)=4x+b. We now need to find b. Given that (-2,-3) goes through f, by plugging this point in f, we have -3=4*(-2)+b, so b=5. Hence, the equation of the line parallel to y=4x+4 and goes through (-2,-3) is f(x)=4x+5.

Answer 2

What is the equation of the line parallel to y = 4x + 4 and goes through the point (-2, -3)?

Two line are parallel ==> Their slope are equal ==> m₁ = m₂ ==> 4 = m₂

The second equation is: y = m₂x + b = 4x + b and goes through (x, y) = (-2, -3)

y = 4x + b ==> -3 = 4(-2) + b ==> -3 = -8 + b ==> -3 + 8 = b ==> b = 5

The second equation is: y = 4x + 5