First, use the given points to calculate the slope.
Then, identify the y-intercept.
y=3x+2
Practice makes perfect
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
- 4
- 1
- 1
0
2
1
5
Let's now substitute the first two points given in the table, (- 2,- 4) and (- 1,- 1), into the Slope Formula and calculate m.
We calculated that the slope of the given equation is 3, which means that for every 1 horizontal step in the positive direction, we take 3 vertical steps in the positive direction. Now that we know the slope, we can write a partial version of the equation.
y= 3 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
- 4
- 1
- 1
0
2
1
5
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= 3x+ 2
