Answer:
[tex]y = \frac{4}{5} x -3\frac{3}{5}[/tex]
Step-by-step explanation:
Finding slope
Slope-intercept formula: y = mx + b
Two good points on the graph:
(2, -2)
(-3, -6)
Two-point slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug these points into the graph:
[tex]\frac{-6-(-2)}{-3-2}[/tex] solve
[tex]=\frac{-4}{-5}[/tex] simplify
[tex]=\frac{4}{5}[/tex] a negative divided by a negative is a positive
m = 4/5
Finding y-intercept
The y-intercept is the point where the line of the graph goes through the y-axis. And when x is 0. In this graph, we have a point in between -3 and -4, but closer to -4. But is nearer to -4, so we will approximate:
b = (0, -3 3/5)
The equation
The last step is setting up the equation. We are using slope-intercept: y= mx + b
Plugin the values for m and b
y = mx + b
y = 4/5x - 3 3/5 (note that since it is negative, which has a minus sign, it replaces the +.
