Question

Help please.
write the equation of the line through each point use slope intercept form(1 -1) parallel to y=2/5x-3
please show me step by step because I am trying to understand how to solve these.

Answer 1

You must have the "Point Slope" form. Have you?

Answer 2

I do not have that

Answer 3

You need a point, usually designated \((x_{0},y_{0})\) In your case, this is (1,-1)

Thus, \(x_{0} = 1\;and\;y_{0} = -1\)

Make sense, so far? We're just defining things.

Answer 4

Yes this part makes sense

Answer 5

You need a slope, usually designated m. In your case, we have a hint.

"parallel to y=2/5x-3"
This is in Slope-Intercept form. The slope of this line is the slope of the line we seek.

Thus m = 2/5

There are various other methods of telling us the slope indirectly. With this hint, we are expected to know that parallel lines have the same slope. If a line is parallel to y = (2/5)x-3, then the slope is 2/4.

Now how are we doing? Still hanging in there?

Answer 6

yes i am understanding it so far

Answer 7

Now, you need the form. The "Point-Slope" form of a line looks like this:

\((y-y_{0}) = m(x-x_{0})\)

You know already \(x_{0},\;y_{0},\;and\;m\). Substitute these values in the the Form and see where ti leads.