Question

Please help what are the slope and the y intercept of the linear function that is represented by the table?

Answer 1

The slope is –2, and the y-intercept is 12.

Explanation:

I used it and got it right

Answer 2

The slope is -2, the y-intercept is 12

Explanation:

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

Chose any two coordinates pair. Let's make use of:

`(0, 12) = (x_1, y_1)`

`(3, 6) = (x_2, y_2)`

Thus,

`slope (m) = (6 - 12)/(3 - 0)`

`slope (m) = (-6)/(3)`

`slope (m) = -2`

Using the slope-intercept equation, find the y-intercept, b, as follows:

`y = mx + b`

Use any coordinate pair as x and y, then solve for b.

Let's use (3, 6)

`6 = (-2)(3) + b`

`6 = -6 + b`

Add 6 to both sides

`6 + 6 = - 6 + b + 6`

`12 = b`

The slope (m) of the linear function that is represented by the table is -2, while the y-intercept (b), is 12.