The equation of the line in this graph is y = 3/2x + 3.
Explanation:
In slope intercept form equations, the initial value is where everything begins. In this equation, that would be at the point (0,3). From there, because it is going up toward the right side, there is a positive slope. The formula for slope is rise over run, so to get our slope, we have to go up 3 units and over 2 units.
To find the slope between the points, you would go through this process
(-1-6)/(4-0)
And we get
(-7)/4
Aka
-(7/4) which is our slope
