Answer:
[tex]y-5=2(x-3)[/tex]
Step-by-step 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: [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
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: [tex]y-y_1=m(x-x_1)[/tex]
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: [tex]y-5=2(x-3)[/tex]
