What is the slope and y-intercept for this chart?

Question

X Y

-2. -5

-1. -1

0. 3

1. 7

2. 11

Answer 1

The "Y intercept" is the point of the chart that is on the Y axis, in other words, the point whose X-coördinate is 0. They tell you that the point (0, 3) is on the chart. That's the point we want, so the Y intercept is 3.

Now as for the slope, note that every time we add 1 to X, the Y increases by 4. For example, the second point (-1, -1) has an X that is 1 bigger than that of the first point (-2, -5), and a Y that is 4 bigger than that of the first point. (-1 is 4 bigger than -5.)

Then the third point (0, 3) has an X that is 1 bigger than that of the first point (-1, -1), and a Y that is 4 bigger than that of the second point. (3 is 4 bigger than -1.)

Etc. Please verify that this pattern continues.

Since we're picking up 4 units of Y for every unit of X that we gain, the "rise over run", in other words, the slope, is 4/1 = 4. Thank you.

Answer 2

y=4x+3

(0,3) gives 3 as the y intercept =b

7-3 = 4= slope= 4 = m

y=mx+b is the equation in slope intercept form