Question

I am stuck can I please have a break down of the problem and how to solve it? thank you

Answer 1

Since the graph is a line, we can use the linear equation y = mx + b to represent it.

In order to find the values of m and b, we can use two points that are on the line (therefore are solution to the equation).

Using the points (0, 5) and (1, 6), we have:

`\begin{gathered} y=mx+b \\ (0,5)\colon \\ 5=0m+b\to b=5 \\ (1,6)\colon \\ 6=m+b \\ 6=m+5 \\ m=6-5=1 \end{gathered}`

So the equation is:

`y=x+5`