Question

Find the equation of the lines in point-slope form with the

following properties.
passes through (3, 5) and (4, 7).
I NEED HELP!

Answer 1

`y-5=2(x-3)`

Explanation:

For this question, we just need to determine the slope, which is the: change in x / change in y

We can use the formal equation of:
`(y_2 - y_1)/(x_2 - x_1)`

But the points given have a difference of one, in terms of the x-value, so the change in the y is simply the slope.

From (3, 5) -> (4, 7) the x changes by 1, the y changes by 2. So we know our slope is 2/1 or 2

the point-slope formula is simply:
`y-y_1=m(x-x_1)`

where (x_1, y_1) are some point on the line, and m is the slope. Since we're given two points, we can use either, so let's just use (3, 5). This gives us the following:
`y-5=2(x-3)`