determine the slope and y intercept from the table below

Question

x | -2 | 4 | 16 |

y | 3 | 6 | 12 |

Answer 1

The equation to find the slope (m) when you have 2 coordinates is..... m = (y₂ - y₁)/(x₂-x₁)

This table gives you three coordinates. You can pick any 2 coordinates to find the slope.

Using (-2,3) and (4,6)....

m = (6 - 3)/(4-(-2)) = 3/6 = 1/2 the slope is m = 1/2

Slope intercept form is y = mx + b.

"b" is the y-intercept

Use any coordinate to find "b"

I will use (-2,3) to plug into the slope-intercept form.

3 = (1/2)(-2) + b

3 = -1 + b

b = 4 The y-intercept is 4

Therefore, the equation is y = 1/2x + 4.

Check your work by plugging the coordinates into y = 1/2x + 4.