Question

Find the equation of the line connecting the points (2,0) and (3,15). Write your final answer in slope-intercept form.

Answer 1

The first step to find the equation of the line is to find its slope. To do it, we need to use the following formula:

`m=(y2-y1)/(x2-x1)`

Where y2 and y1 are the y coordinates of 2 given points on the line, and x2 and x1 are the x coordinates of the same points. m is the slope.

Replace for the given values and find the slope:

`m=(15-0)/(3-2)=(15)/(1)=15`

Now, use one of the given points and the slope in the point slope formula:

`y-y1=m(x-x1)`

Replace for the known values:

`\begin{gathered} y-0=15(x-2) \\ y=15x-30 \end{gathered}`

The equation of the line is y=15x-30