Answer:
y = -[tex]\frac{4}{3}[/tex]x - 4
Step-by-step explanation:
Slope-intercept form is y = mx +b, with m being the slope and b being the y-intercept. We can see from the image that the y-intercept is -4. The slope equals the change in y divided by the change in x between two points. By looking at two points, we can see that y changes by -4, and x changes by 3. This gives a slope of -4/3.
Answer: y=-4x/3 - 4
Step-by-step explanation:
First, we would start with the equation y=mx+b (as this is the slope-intercept form) and try to plug in the values from there.
m is the slope and b is the y value of the y-intercept.
The y-intercept is (0,-4) as shown by the graph. So, y=mx-4
Now, if we take another point on the graph, namely (-3,0), we can take the points that we have (-3,0) and (0,-4) to find the slope using the formula
(y2-y1)/(x2-x1)
(-4-0)/(0+3)=-4/3
Using the two values that we have, our equation ends up as y=-4x/3-4
