A line parallel to 5x-y=4 and passes through the point (-2,-2)

Question

A line parallel to 5x-y=4 and passes through the point (-2,-2)

Answer 1

A line parallel to 5x-y=4 and passes through the point (-2,-2)

The first thing to do is to write the equation in slope intercept form: (y = mx + b)

5x - y = 4

-5x -5x

- y = -5x + 4 ( you must eliminate the negative from the y so change all signs)

y = 5x - 4 (you now have the slope which is 5- the m part)

Now take the point and use it in the point - slope formula y - y₁ = m(x - x₁ )

( -2, -2 ) m = 5

x₁ , y₁

y + 2 = 5 (x + 2) the -2's become positive when you subtract a negative.

The use the Distributive Property y + 2 = 5x + 10

-2 -2 subtract two form both sides to get y alone

y = 5x + 8

You notice the slopes are parallel because they are equal to each other (the definition of parallel slopes).