Question

What are the slope and the y-intercept of the linear function that is represented by the table?

1 The slope is –2, and the y-intercept is 6.

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

3 The slope is 2, and the y-intercept is 6.

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

Answer 1

1) m = -2 & y = 6

y = mx + b
y = -2x + 6

2) m = -2 & y = 12
y = -2x + 12

3) m = 2 & y = 6
y = 2x + 6

4) m = 2 & y = 12
y = 2x + 12

Answer 2

The answer is the option 2

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

Explanation:

we have

`A(-3,18),B(0,12),C(3,6),D(6,0)`

Step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

`m=(y2-y1)/(x2-x1)`

we have

`A(-3,18),B(0,12)`

Substitute the values

`m=(12-18)/(0+3)`

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

`m=-2`

Step 2

Find they-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

therefore

The y-intercept is the point
`B(0,12)`