Question

Find the equation of the linear function represented by the table below in slope-

intercept form.
X
O
1
2
4
у
-6
-2
2
6
10

Answer 1

It should be noted that:

• If the x-coordinate is 0, then the y-coordinate is the y-intercept.
• Slope = Rise/Run = y₂ - y₁/x₂ - x₁
• Slope intercept form formula: y = mx + b

To find the equation that represents by the table:

1. Find the slope.

2. Find the y-intercept

3. Put the equation in y = mx + b form.

Step 1. Finding the slope.

• Slope = Rise/Run = y₂ - y₁/x₂ - x₁
• => Slope = -2 - (-6)/1 - 0
• => Slope = -2 + 6/1
• => Slope = 4/1 = 4

Step 2. Finding the y-intercept.

If the x-coordinate is 0, then the y-coordinate is the y-intercept.

• => y-intercept = -6

Step 3. Putting the equation in y = mx + b form.

• y = mx + b = y = (4)x - 6
• => y = 4x - 6

The equation that is represented by the table is y = 4x - 6.