1) We have to find the slope of the linear function represented in the table.
If we already know it is a linear function we can take two points (x,y) from the table, like (0,13) and (2,14) and calculate the slope m as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{14-13}{2-0}=\frac{1}{2}[/tex]2) The y-intercept correspond to the value of y when x = 0.
From the table we can see that when x = 0, y is equal to 13.
Then, the y-intercept is b = 13.
3) Knowing the slope m = 0.5 and the y-intercept b = 13, we can write the equation of the line in slope-intercept form as:
[tex]\begin{gathered} y=mx+b \\ y=\frac{1}{2}x+13 \\ f(x)=\frac{1}{2}x+13 \end{gathered}[/tex]Answer:
1) Slope m = 1/2
2) y-intercept b = 13
3) Equation: f(x) = 1/2*x + 13
Answer:
-2.75
-6
Infinity
7
3.75
Step-by-step explanation:
You have to divide y by x.