m = 1/2 and contains the points (7, -3)

You didn’t specify what your goal was, but I’m going to assume that it is getting the equation in slope-intercept form.

Firstly, do the point-slope form.

y + 3 = 1/2(x – 7)

I don’t want to bother myself with that fraction, so I will just eliminate it by multiplying everything by 2.

2y + 6 = x – 7

Now, get 6 on the other side.

2y = x – 13

Finally, divide both sides by 2 to get y by itself.

y = 1/2x – 13/2

There’s your answer. AND, here’s an important part, your mistake.

You were obviously doing the point-slope form. Here’s what the equation for point-slope looks like:

y – y1 = m(x – x1)

To do this, first, you have m. m = 1/2, so do this:

y – y1 = 1/2(x – x1)

Next, you have to plug in the points. Remember, don’t do anything to the x or y without the 1 attached to them.

(7, -3)

.x….y…

So the first number is x, and the second is y.

Plug that in.

y – (-3) = 1/2(x – 7)

There. That’s where you were wrong.

y – 0.5 = 7(x- -3)

you distribute the 7, so it leaves you with

y – 0.5 = 7x +21 ——- subtracting a negative # is the same as adding a positive one

then you just add 0.5 to both sides which leaves you with

y = 7x + 21.5

that’s what i got but you were very close

so wouldnt that make it y+3=0.5(x-7) ?? you are confusing me??

isn’t 0.5=m or…………….