Linear functions can be written in y=mx and y=mx+b. In which form is the linear function in the example problem? What are the va
lues of m and b and what do they represent?
2 answers:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0) or (0,y)
y = mx
"m" is the slope (the y-intercept is 0/it crosses the origin (0,0))
When x = 0, y is 2, so the y-intercept is 2.
You can find the slope by using the slope formula and plugging in two points, or you use this:
Rise is the number of units you go up(+) or down(-)
Run is the number of units you go to the right.
If you look at the graph, from each point, you go up 1 unit, and to the right 1 unit. So the slope is 1/1 or 1.
y = mx + b
m = 1 and it represents the slope of the line
b = 2 and it represents the y-intercept of the line
y = 1x + 2 or y = x + 2
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