Question

x y4 612 816 928 12based on the information in the table,what are the y intercept and slope of the line described by these points.A y intercept: 2; slope : m=4B y intercept : _ 20; slope : m = 1/4C y intercept : 5 ; slope : m =4D y intercept : 5 ; slope m = 1/4

Answer 1

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{8-6}{12-4} \\ m=\frac{2}{8} \\ m=\frac{1}{4} \end{gathered}$

then for y intercept:

$\begin{gathered} y=mx+b \\ 6=\frac{1}{4}(4)+b \\ 6=1+b \\ 6-1=1+b-1 \\ 5=b \end{gathered}$

answer:

y intercept 5

slope m = 1/4

letter D