Answer:
y = 4/3x + 4
Explanation:
There are multiple ways to get the slope of a line.
Counting Method
1.) Find two spots where the line crosses exactly through the point.
(-3, 0) (0, 4)
2.) Count up/down from the first spot to the second step, record what you get
You would count up 4 times
3.) Count from left/right from where you left off, record what you get.
You would move to the right 3 times
4.) When you counted up/down, that gives you the y. If you go up then it's positive, if you go down then it's negative. When you counted left/right, that gives you the x. If you go to the right then it's positive, to the left then it's negative. Put the y and x in a fraction, the y being the numerator (top number) and the x being the denominator (bottom number). If possible, simplify.
4/3
5.) You've found the slope (4/3), now you need to find the y-intercept (the + __) in the question. The y-intercept is where the line crosses the y-axis. This is easy to find, just find where it crosses. This case, 4. So you get + 4.
Rise over Run Method
1.) Find two spots where the line crosses exactly through the point.
(-3, 0) (0, 4)
2.) Use the formula y2/x2 - y1/x1. For the points we have, -3 is x1, 0 is y1, 0 is x2, and 4 is y2. Substitute, 4/0 - 0/-3. Only subtract the y's with y's and the x's with x's. You get 4/3.