Question

Indicate in standard form the equation of the line through the given points.

P(0, -4), Q(5, 1)

Answer 1

@MMMercado can you help me please

Answer 2

First develop the line equation in any form.
then place it in the standard form which is: ax + by = c

Answer 3

do you first put it in point slope form?

Answer 4

The two points given is all you need.
Suggest you use the point-slope form to solve for the slope, the slope will become "a" in the standard form.

Answer 5

Yes.

Answer 6

I would go that way. point-slope form.

Answer 7

okay

Answer 8

I will standby for further assistance (if needed).

Answer 9

i put it in point slope form just don't get how to put it in standard once i get it in point

Answer 10

ok what did you get for slope (m) in the point slope form?
(-4 - 1) = m(0 -5)
-5 = -5m
m = ?

Answer 11

1

Answer 12

Correct, now use point slope again using the variables x and y and only one of the given points like this:
(y-1) = m (x-5) I used the second point
y-1 = 1(x-5)
y-1 = x -5 placing in standard form first put the variables on the left side.
-x + y -1 = -5 now put the numerical values on the right
-x + y = -5 + 1 simplify. and you will be done.

Answer 13

what does the final standard form look like?

Answer 14

So I just simplify it?

Answer 15

Yes combine the numericals on the right side of the equal sign.

Answer 16

So that would equal 6... right?

Answer 17

-x + y = -4 one answer or it could be expressed as:
x - y = 4 by multiplying both sides by a -1.

Answer 18

No. -5 + 1 would be a -4. Remember your rules for signs when adding or subtrtacting
In this case you are adding a 1 to a -5.

Answer 19

Okay I got it now thank you so much plus my algebra teacher in summer school finally decided to help me

Answer 20

Very good, I like the line equation expressed as x - y = 4 better simply because the coefficient of x is shown as a +1 which is also the value of the slope (+1).