Question

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 values of m and b and what do they represent?

Answer 1

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:

`slope=(rise)/(run)`

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

Answer 2

M is 1 it is the slope. B is 2 it is where the slope crosses the y axis.

Explanation: