Question

Hey I need help with this I did one of these questions before but when I did this one it didn't turn out the same.

Answer 1

By applying the knowledge of coordinate geometry,

`\begin{gathered} \text{Two points on the graph = (5, 130) and (3, 100)} \\ \text{Gradient of the graph, m = }(y_2-y_1)/(t_2-t_1)=\text{ }(130-100)/(5-3)=\text{ }(30)/(2)=15 \\ \text{Equation of the line = }y-y_1=m(t-t_(1))where(t_1,y_1)=(3,100) \\ =\text{ y-}100\text{ = 15(t -3)} \\ y\text{ =}15t-45+100 \\ y=\text{ 15t + }55 \end{gathered}`