Question

b=3 y-intercept br Find the slope and y-intercept of the line represented by each table. 3. 0 3 6 9 0 2 х 12 10 19 28 2 37 у у A 4 6 8 x 3 4 5 slope m = slope m= y-intercept br y-intercept

Answer 1

The slope can be obtained using the formula

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

and the y intercept is the value of y when x is equal to zero.

3. We can choose the points (3,10) and (6,19), then

`m=(19-10)/(6-3)=(9)/(3)=3`

From this, we can use the slope-point form of the line equation to obtain the y intercept

`\begin{gathered} y-10=3(x-3) \\ y=3x-9+10 \\ y=3x+1 \end{gathered}`

Then,

slope =3, y-intercept=1.

4. We choose the points (2,2), (4,3)

`m=(3-2)/(4-2)=(1)/(2)`
`\begin{gathered} y-2=(1)/(2)(x-2) \\ y=(1)/(2)x-1+2 \\ y=(1)/(2)x+1 \end{gathered}`

Then,

slope = 1/2, y-intercept =1