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=(y2-y1)/(x2-x1) \\ m=(5-3)/(1-0) \\ m=(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`