Answer:
First graph's equation is: y=2/3x+3
Second graph's equation is: y=2/3x-1
Third graph's equation is: y=2/3x+1
Fourth graph's equation is: y=2/3x-3
Step-by-step explanation:
Well you didn't provide the equation so I can't give you the exact answer but I can tell you the equation for each graph and you can match that with the equation they gave you!
Here ya go:
The y intercept is where the line crosses the y axis(vertical axis)
The slope is rise/run (vertical/horizontal)
The first graph:
The line crosses the y axis at (0, 3)
To find the slope we need to take the (y) of one of the given coordinates and subtract the (y) of the other coordinate then divide that over (x) of one of the coordinates minus the (x) of the other coordinate.
5-1/3-(-3)
4/6
2/3 is our slope, apply that to slope-intercept formula (y=mx+b)
y=2/3x+3
The second graph:
The line crosses the y axis at (0, -1)
Do as we did with the first graph to find the slope.
1-(-3)/3-(-3)
4/6
2/3 is our slope
y=2/3x-1
The third graph:
The line crosses the y axis at (0, 1)
Find the slope
3-(-1)/3-(-3)
4/6
2/3 is our slope
y=2/3x+1
The fourth graph:
The line crosses the y axis at (0, -3)
Find the slope
-1-(-5)/3-(-3)
4/6
2/3
y=2/3x-3
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
