Question

Which equation is in standard form and represents a line with slope –1 through the point (–3, 5)?

Answer 1

Hello! Are you familiar with the point-slope equation?

Answer 2

Not Really... Im Just Learning it... Can Yu Help?

Answer 3

y-y1 = m(x-x1)

Answer 4

x1 and y1 are the coordinates of the point

Answer 5

m is the slope

Answer 6

How can we use this?

Answer 7

So replace m with -1?

Answer 8

Correct!
And what about x1 and y1?

Answer 9

y-5 = m(x-3) ?

Answer 10

the left side is correct!

Answer 11

Let's take a look at the right side: First, we can put -1 instead of m, right?

Answer 12

and what about x1?

Answer 13

Which is the value of x1?

Answer 14

so y-5 = -1(x-3) ?

Answer 15

That's better, but we still have to take a look at x1
Which is the value of x1?

Answer 16

since x1=-3
we will get this:

Answer 17

y-5 = -1(x+3)

Answer 18

And then we have to write it in its standard form

Answer 19

I do not mean to interrupt, but if you are having a hard time with the point slope form, you can solve this by just using y = mx + b form. Just a thought.