The correct answer is (B).
A linear equation has the form
y =
mx + b, where
m is the slope of the line and
b is the y-intercept, which is the point where the line crosses the y-axis.
We can see from the diagram that the line crosses the y-axis at point (0,1), which means
b is 1. Thus we can immediately eliminate choices (C) and (D).
We can also see from the scatter plot that the slope is going to be positive, which eliminates choice (E).
But is the slope 7 or 0.7? A line with a slope of 1 makes an angle of 45 degrees with the x-axis. It looks like a line through these dots will make a line that is close to, or a little less than 45 degrees. A line with a slope of 7 means it would be much steeper than 45 degrees. It looks like choice (B) is our answer, but let's make sure.
To find
m, the slope of the line, use this formula:
| m |
= |
|
5 |
|
|
 |
|
|
7 |
|
|
| We are given the coordinates for two points in the diagram, |
|
P1
|
= |
(0,1) |
and |
P2
|
= |
(7,6) |
. We can use these coordinates |
| to approximate the slope: |
