Question

6,9x,y3,3I need to find a equation relating to x and y

Answer 1

`y=2x-3\rightarrow Slope-intercept\text{ form}`

Step by step explanation:

As a first step to find the equation of the line, we need to calculate the slope.

The slope is represented by the following equation:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \text{where,} \\ \text{ (x}_1,y_1)and(x_2,y_2)_{}_{} \\ \text{are the points given} \end{gathered}`

Then, the slope of the line would be:

`\begin{gathered} m=(9-3)/(6-3) \\ m=(6)/(3) \\ m=2 \end{gathered}`

Then, by the slope-point form of the line we can get slope-intercept form:

`\begin{gathered} y-y_1=m(x-x_1) \\ y-3=2(x-3) \\ y=2x-6+3 \\ y=2x-3\rightarrow Slope-intercept\text{ form} \end{gathered}`