Question

Referring to the figure, write an equation of the line shown in the graph:

Answer 1

In order to find an equation of the line shown in the graph, we'll use the two points given: (0,5) and (-1,0). First of all, let's find the slope of the line:

`\begin{gathered} m=(\Delta y)/(\Delta x) \\ m=(0-5)/(-1-0) \\ m=5 \end{gathered}`

So, the slope is m=5.

The equation of the line will be:

y-y0 = m(x-x0)

y-0 = 5(x+1)

y = 5x+5