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,
[tex]\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}[/tex]Hence, the value of p is -2.8.
