Question

Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph

Answer 1

`y=2x-1`

Explanation:

We have that the equation in its slope-intercept form is the following:

`\begin{gathered} y=mx+b \\ m\text{ is the slope and b is the y-intercept } \end{gathered}`

The slope can be calculated as follows:

`m=(y_2-y_1)/(x_2-x_1)`

We use the points (4,7) and (1,1) to calculate the slope:

`m=(1-7)/(1-4)=(-6)/(-3)=2`

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

`\begin{gathered} 1=1\cdot2+b \\ b=-2+1 \\ b=-1 \end{gathered}`

Therefore, the equation would be:

`y=2x-1`