Answer:
y = 3/2x - 8
Step-by-step:
The equation for slope-intercept form is y=mx+b.
First, let’s find for b. b is always the number that’s plotted on the y-axis. The only number that’s plotted on the y-axis is -8, making b = -8.
y = mx - 8
Next, we need to find mx. mx can be in either the form of a fraction or whole number. In this case, it’s a fraction. If you’re plotting a fraction, the numerator is the rise, and the denominator in the run.
So, starting from -8, how many times does it rise in order to meet the nearest plot? 3 times upwards. 3 is now your numerator.
From there, how many times does it run (left or right) to the nearest plot? 2 times to the right. 2 is now your denominator.
Your fraction is now 3/2, making mx = 3/2x
Therefore, your answer is y = 3/2x - 8