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

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{19-10}{6-3}=\frac{9}{3}=3$

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=\frac{3-2}{4-2}=\frac{1}{2}$$\begin{gathered} y-2=\frac{1}{2}(x-2) \\ y=\frac{1}{2}x-1+2 \\ y=\frac{1}{2}x+1 \end{gathered}$

Then,

slope = 1/2, y-intercept =1