Question

If the gradient of the line joining the points (-3,-7) and (4,p) is 3/5, find the value of P.

Answer 1

Given:

Two points (-3, -7) and (4, p).

To find the value of P if the gradient is 3/5:

The gradient in a linear equation is the same thing as the slope of the line.

So, the formula is,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ (3)/(5)=(p-(-7))/(4-(-3)) \\ (3)/(5)=(p+7)/(7)\Rightarrow3(7)=5(p+7) \\ 21=5p+35 \\ 5p=21-35 \\ 5p=-14 \\ p=-2.8 \end{gathered}`

Hence, the value of p is -2.8.