Answer:
Red Line
m = 1/2
b = 1
Blue Line
m = 1
b = -1
Green Line
m = 3
b = 0
Step-by-step explanation:
First off, we need to know what m and b are first.
m is the slope
b means y-intercept, or, when x is 0
And to find slope use "m = y2 - y1/x2 - x1" (remember, Rise over Run, not Run over Rise!)
<u>Red line</u>: if you count it, you get a point on the line each time you go up once and to the right twice. We can use Rise over run. Rise is y, or its name, go up, which is the 1. then the run which is 2. So, the slope is 1/2 or m = 1/2. and we can see that the y-intercept is 1. m = 1/2, b = 1
<u>Blue Line</u>: This is pretty much the same as the red line, see the slope it's rise once and run once so, the slope is 1/1 which is 1. Then the y-intecept is b which is when x is 0, we check the y-axis line and we see that the y-intercept is -1. m = 1, b = -1
<u>Green Line</u>: And once again, the same as Red Line and Blue Line, the slope is 3. Rise is 3 times, run is once, so, 3/1 which is 3. While the y-intercept is 0 since it is on (0,0). Meaning that it goes through the origin. m = 3, b = 0
