Question

The points (-3,r) and (13,6) lie on a line with slope 3/4 find the missing coordinate r

Answer 1

Given: the points (-3,r) and (13,6) lie on the same line

The slope of the line = 3/4

So, we will find the value of r using the slope form as follows:

`\begin{gathered} slope=(y_2-y_1)/(x_2-x_1) \\ \\ (3)/(4)=(6-r)/(13-(-3)) \end{gathered}`

Solve the last equation for r:

`\begin{gathered} (3)/(4)=(6-r)/(16) \\ \\ 3\cdot16=4(6-r) \\ 48=24-4r \\ 4r=24-48 \\ 4r=-24 \\ r=-(24)/(4)=-6 \end{gathered}`

So, the answer will be r = -6