Question

Find the slope, y-intercept and equation for the table x -2, 0, 2, 4, 6, and y -4, 2, 8, 14, 20

Answer 1

y = 3x + 2

Explanation:

m = slope

b = y-intercept

equation: y = mx + b or Slope-Intercept Form

First, find the y-intercept

• The y-intercept is when x = 0

when x = 0, y = 2

Thus, the y-intercept is 2

Next, find the slope

`m=(y_2-y_1)/(x_2-x_1)`

*Use any two points from the table*

Example: (2, 8) and (-2, -4)

`m=(-4-8)/(-2-2)`

`m=(-12)/(-4)`

`m=3`

The slope is 3 and the y-intercept is 2

Therefore, the equation for the table is
`y=3x+2`