Question

Write an equation in slope intercept form for the graph shown.

Answer 1

Answer:

y = -2x + 3

Step-by-step explanation:

The basic format of slope intercept form is y=mx+b.

y = any "y" value

m = the slope (or rate of change) of the line

x = any "x" value

b = the y-intercept (or the value of "y" when "x" is equal to 0)

Next, look at the graph to see what you know. You know that "y" and "x" will not have a specific value because they are constantly changing as you move along the line. So, y = y and x = x.

The "m" value can be determined by looking at the points where the line crosses on the graph. The first point you can look at is (0,3) because the x-value is 0 and the y-value is 3. The next point you can use is (1,1) because the x-value is 1 and the y-value is also 1. You would then calculate the slope by using the "rise divided by run" tactic. The line goes down by 2 (so the rise is -2). The line "runs" by 1 (so the run is 1). The rise divided by the run is -2. So m = -2.

The b value can be calculated by looking at what "y" equals when x = 0. When x = 0 on this graph, y = 3. So b = 3.

After filling in all of your known information, you should get y = -2x+3 .