Question

Write the equation of a line that is parallel to y=-2x + 4 and passes through the point (4, 0).

Answer 1

Parallel lines have the same slope, what is the slope of this line?

Answer 2

I don't know.:|

Answer 3

The equation of a line in slop-intercept form is written as
\(y=mx+b\)

m is the slope and b is he y-intercept

Do you now know what the slope is?

Answer 4

-2x

Answer 5

Its just m but you're right its -2

So we make a new equation this way
\(y=-2x+b\)

We were given a point (4,0) so we substitute that point into the equation, do you know hot to do that?

Answer 6

Substitute it for b?

Answer 7

Points are written as (x,y) :P

Answer 8

Substitute x and y

Answer 9

So 0=-2*4 + 4?

Answer 10

b is not solved for

\(0=-2*4+b\)

You're solving for b