Please help me‼️‼️‼️ Write the equation of the line in slope intercept form if the line passes
through (3,5) and (5,9). Show all your work.

y= 4x-7

Step-by-step explanation:

First, we need to find the slope. We can do this by using the formula:

1) y₂-y₁/x₂-x₁

2) 9-5/5-3

3) 4/2

4) The slope is 2

Next, we have to first plug the slope (2) and one of the coordinate pairs (I chose (3,5)) into point-slope format.

5) y-y₁=m(x-x₁)

6) y-5 =4(x-3)

7) Now we just simplify this equation to make it slope intercept form (y=mx+b)

8) y-5= 4x-12

9) y=4x-7

And there you have it :)

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