Question

How would I solve 5y-4y=1/2(3-1)?

Answer 1

\(5y - 4y = \dfrac{1}{2}(3 - 1)\)

Answer 2

So do I do 3-1 first?

Answer 3

Yes, parentheses first always

Answer 4

okay so then we have 5y-4y=1/2(2)

Answer 5

so two times 1/2?

Answer 6

5y-4y=4?

Answer 7

Wait a minute. Are you trying to put the previous problem in point-slope form?

Answer 8

If so, then you have entered numbers incorrectly.

Answer 9

yes...oh

Answer 10

Yeah I'm really bad at this

Answer 11

I plugged in what you gave me on the last question and that's what I cam up with

Answer 12

No, that's not what I said to do. You mis-interpreted me.

Answer 13

oh okay so this was what the questions said:
Determine the equation of the line, in point-slope form, that will get your spacecraft from Point A to Point B.
Point A: (1,4)
Point B: (3,5)

Answer 14

The point-slope form is:
\(y-y_1 = m(x-x_1)\)

The slope is \(m = \dfrac{1}{2}\)

the first point is \((x_1, y_1) = (1,4)\)

Thus the equation is:

\(y - 4 = \dfrac{1}{2}(x - 1)\)

Answer 15

okay so aren't 5 and 3 the x variables?

Answer 16

No, you can't call numbers variables.

Answer 17

oh okay...So where does the 5 and 3 go?

Answer 18

We don't need the 5 or 3 because they are not part of the point-slope formula

Answer 19

Oh got it...So how do I finish solving?

Answer 20

For the point slope formula, we only need the first point and the slope. We used the 5 and the 3 to calculate the slope, so it's not like we didn't use them.

Answer 21

Okay...So first I need to solve y−4=1/2 (x−1) ?

Answer 22

That's the equation of the line in point-slope form. You don't need to do anything else. That is what they were asking for.

Answer 23

Okay...I think I made it harder than what it needed to be... Thank you so much ^-^

Answer 24

Could you help me with the second part?

Answer 25

Determine the equation of the line, in slope-intercept form, that will get your spacecraft from Point B to Point C.
Point B: (3,5)
Point C: (5,3)

Answer 26

Okay, did you find the slope yet?