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,

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

Hence, the value of p is -2.8.