Practice Test
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First, use the given points to calculate the slope. Then, identify the y-intercept.
y=2
An equation in slope-intercept form follows a specific format.
y= mx+ b
For an equation in this form, m is the slope and b is the y-intercept. We will start by looking at the given table.
| x | y |
|---|---|
| - 2 | 2 |
| 0 | 2 |
| 2 | 2 |
| 4 | 2 |
Let's now substitute the first two points given in the table, (- 2,2) and (0,2), into the Slope Formula and calculate m.
A slope of 0 means that the vertical change between any two points is 0. Now that we know the slope, we can write a partial version of the equation. y= 0 x+ b To complete the equation, we also need to determine the y-intercept b. We can consider the given table and find the value of y when x=0.
| x | y |
|---|---|
| - 2 | 2 |
| 0 | 2 |
| 2 | 2 |
| 4 | 2 |
Since y= 2 when x=0, the y-intercept is 2. This means that the line crosses the y-axis at the point (0, 2). We can now complete the equation. y= 0x+( 2) ⇔ y=2