Find the equation of each line in slope-intercept form: Perpendicular to the line y=-2x+5 through the point(8,-3)

Question

anonymous · Answer

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
$$m=\frac{y_2-y_1}{x_2-x_1}$$

standard formula
$$Ax+By=C$$

point-slope formula
$$y-y_1=m(x-x_1)$$

slope-intercept formula
b= y-intercept -- in the form of (0,y)

$$y=mx+b$$

anonymous · Answer

perpendicular slopes are negative reciprocals to each other

anonymous · Answer

ok

anonymous · Answer

A perpendicular slope is going to be one where the original slope times the new slope = -1, so since your initial slope is -2, your new slope is going to be 1/2 because (-2)(1/2) = -1.  Good so far?

anonymous · Answer

Next, we do point-slope:

y - (-3) = (1/2)(x - 8)

Next, slope-intercept, which is what we want:

y + 3 = (1/2)x - 4

y = (1/2)x - 7

And that's done!

Is that understandable?

anonymous · Answer

good

anonymous · Answer

ok f(x) $$F(x)= x ^{2} + 3, find f (-4)$$

anonymous · Answer

Is that F(x) = x^2 + 3    ?

It came out jumbled on my screen.

anonymous · Answer

correct

anonymous · Answer

find f if f = 4

anonymous · Answer

-4 i mean

anonymous · Answer

You just replace the "x" with "-4"    ->

(-4)^2 + 3     ->    16 + 3       ->      19