Question

What is an equation

Answer 1

We have to write the equation of the line that pass through (4,-5) and (2,0).

We can calculate the slope as:

`m=(y_2-y_1)/(x_2-x_1)=(0-(-5))/(2-4)=(5)/(-2)=-2.5`

We can then write the slope-point form of the equation as:

`\begin{gathered} y-y_0=m(x-x_0) \\ y-0=-2.5(x-2) \\ y=-2.5x+5 \end{gathered}`

Answer: y=-2.5x+5