Question

Write the standard form of the line that passes through the point (-2, 4) and is parallel to x - 2y = 6

Answer 1

We need to change the standard form equation into slope intercept form.

\(\huge\bf{x−2y=6}\)

Subtract x from both sides.

\(\huge\bf{−2y=-x + 6}\)

Next divide by -2 on each side.

\(\huge\bf{y=\frac{1}{2}x−3}\)

~~~~~~~~~~~~

Now parallel lines contain the same slope but different y-intercepts so we keep the slope.

\(\huge\bf{y=\frac{1}{2}x+b}\)

To find b we would input the point we want it to go through.

\(\huge\bf{4=\frac{1}{2}(−2)+b}\)

Simplify.

What does b equal?

Answer 2

-3? @563blackghost

Answer 3

Close! Can you try again? \[\huge 4=-1+b\]

Answer 4

5? @steve816

Answer 5

Coorect! NIce job :)