Question

write the linear equation that demonstrates the relation in the table below.

Answer 1

First let's calculate the slope of the curve

A = (0, 3)

B = (1, 5)

$\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{5-3}{1-0} \\ m=\frac{2}{1} \\ m=2 \end{gathered}$

Now let's calculate the intersection

$\begin{gathered} b=y-mx \\ b=3-2\cdot(0) \\ b=3 \end{gathered}$

The equation of the line that passes through the points is

$y=2x+3$