algebra help please?

Question

perpendicular to y=2x-1 and goes through (6,4)

slope intercept form?________

i need step by step help please! thnx

so if y=1/2x+7

then what is...
f(-4)=
f(-2)=
f(0)=
f(2)=

Answer 1

Perpendicular means the slope will be opposite and reciprocal.

m=-1/2

The point slope formula is y-y1=m(x-x1).

y-4=-1/2 * (x-6)
y=-1/2x+7 <---Answer

There you go.

Answer 2

The slope intercept form: y = mx + b where m is the slope and b is the intercept.

Two are lines are perpendicular if and only if the slopes multiply to form -1. The slope of the given lien is 2.

So, 2 * (slope of desired line) = -1.
Thus, the slope of the desired line is -1/2.

So we have y = (-1/2)x + b.

If I knew x and y, I could find b. Do I know a value of x and y? Yes!

Plug in the given point (6,4) (This is why you were told the desired line goes through the point!) in this equation to find b.

4 = (-1/2) (6) + b.

4 = -3 + b
b = 4 + 3 = 7

The desired line is
y = (-1/2)x + 7