Write the equation of the graph in slope-intercept form (y = mx + b)

Answer:
y = -3x + 4
Step-by-step explanation:
To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:
-6/2 = -3
To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.
mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.
Answer:
y = -3x + 4
Step-by-step explanation:
m = the slope (rise/run)
b = y-intercept
we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)
- that means that m = 6/2 or m = 3
y = 0 when x = 4, so the y-intercept is 4, or b = 4
put it together!
y = 3x +b
BUT WAIT!!
- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.
- why? the rise is decreasing!
final equation --------> y = -3x + 4