19

Question

19

igreen · Answer

Launch Area = (1, 2)

Point A = (0, 3)

Plug them into the slope formula

igreen · Answer

$m = \dfrac{y_2-y_1}{x_2-x_1}$

$m = \dfrac{2-3}{1-0}$

Simplify

igreen · Answer

Yep, divide

igreen · Answer

Yes, so -1 is the slope, now plug this in with any of the two points into point-slope form.

$y - y_1 = m(x - x_1)$

Where $y_1$ is the y-value of the point, $x_1$ is the x-value of the point, and $m$ is the slope.

So we have:

$y - 2 = -1(x - 1)$

Distribut -1 into the parenthesis:

$y - 2 = -x + 1$

Add 2 to both sides, what's 1 + 2?

igreen · Answer

Correct.

igreen · Answer

But it wants it in Standard Form, so we have to simplify it..can you add 1 + 2?

igreen · Answer

Yes, that is our equation in slope-intercept form, now add 'x' to both sides to convert to Standard form.

igreen · Answer

Yes..but it should be x + y = 3.

igreen · Answer

'Cause standard form is Ax + By = C

igreen · Answer

That's our equation in standard form..

igreen · Answer

Launching Point = (1, 2)
Point B = (-3, 0)

Plug it into the slope-intercept form.

igreen · Answer

point-slope form*

igreen · Answer

Oh, my bad..plug the two points into the slope formula first.

igreen · Answer

Nice work, so 1/2 is the slope.

igreen · Answer

Just plug any of the two points in with the slope.

$y - y_1 = m(x - x_1)$

Where $y_1$ is the y-value of the point, $x_1$ is the x-value of the point, and $m$ is the slope.

igreen · Answer

Correct.

igreen · Answer

Now for C, find the slope between the two points.

igreen · Answer

I mean for #4

igreen · Answer

(1, 2) and (-1, -4)

igreen · Answer

Correct!

igreen · Answer

Now for #5:

y-2=0.5(x-1)

Distribute 0.5 into the parenthesis

igreen · Answer

Yes

igreen · Answer

Hold on.. 0.5 * -1 isn't 0.5

igreen · Answer

Yep, you got it..-0.5

So we have:

y - 2 = 0.5x - 0.5

igreen · Answer

Add 2 to both sides.

igreen · Answer

There's only 1 minus sign..where did you get the 2nd one from?

igreen · Answer

It's fine..so finish simplifying.

y - 2 = 0.5x - 0.5

Add 2 to both sides

igreen · Answer

Correct.

igreen · Answer

For #6, there aren't really any restrictions since this is space..and space is infinite.

igreen · Answer

Yep, that's all the questions.

igreen · Answer

No problem.