Question

What are the slope and the y-intercept of the linear function that is represented by the table? -- Nicol у 3 2 1 0 -2 / 0 Nlw 3 1 2 -1 The slope is -3, and the y-intercept is 3 The slope is -3, and the y-intercept is z. 1 The slope is 3, and the v-intercept is -

Answer 1

We will assume the next table to answer this question (a linear function) (since the data in the question is not clear):

Having this information, we can find the slope using the formula for it:

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

If we pick up from the table the next points:

x1 = 1, y1 =6

x2 = 2, y2 = 8

Then

`m=(8-6)/(2-1)=(2)/(1)\Rightarrow m=2`

We can use the slope-point formula to find the y-intercept. We can use the point (3, 10). Then, we have:

`y-y_1=m\cdot(x-x_1)\Rightarrow y-10=2\cdot(x-3)\Rightarrow y-10=2x-6`
`y=2x-6+10\Rightarrow y=2x+4`

We end up with the slope-intercept formula for the line. Then the y-intercept is 4. In other words, if we have x = 0, then y = 4.

Then the slope for the values represented in the proposed table is m = 2, and the y-intercept is y = 4.