Answer:
y = 23x - 57 see below
Step-by-step explanation:
You can use the slope intercept equation which is
y = mx + b
where m is the slope of the line and b is the point on the y-axis when x=0 (the y-intercept)
Slope = rise over run
Rise is the difference between the y points
Run is the difference between the x points
If you take two of the coordinates you can get the Rise and Run
Rise = difference between y values -57 and -34 which is 23
Run = difference between the x values 0 and 1 which is 1
The slope is 23. If you visualize the line based on the coordinates, you will see that the line slants upward from left to right so the slope must be positive.
m = 23 (slope)
b is where the line crosses the y axis when x=0. The first set of coordinates gives you that. ( 0, -57).
b = - 57
The equation should be y = 23x - 57
You can test this by plugging in a couple of the coordinates.
(0, - 57) y = 23(0) - 57 OR y = 0 - 57 OR y = - 57
(1, - 24) y = 23(1) - 57 OR y = 23 - 57 OR y = - 24
etc
