Question

Indicate in standard form the equation of the line passing through the given points, in the equation box below. L (5,0), M (0, 5)

Answer 1

Given points

`L(5,0)\text{ and M\lparen0,5\rparen}`

Solution

Firstly, find the slope

Slope Formula

`Slope=(y_2-y_1)/(x_2-x_1)`

Now

`\begin{gathered} x_1=5 \\ x_2=0 \\ y_1=0 \\ y_2=5 \end{gathered}`

Plug in into the formula

`Slope\text{ \lparen m\rparen=}(5-0)/(0-5)=(5)/(-5)=-1`
`\begin{gathered} y-y_1=m(x-x_1) \\ y-0=-1(x-5) \\ y=-x+5 \\ \end{gathered}`

The standard form is

`x+y=5`