Question

Find the equation of the line containing the following: (0,10) and (-5,0)

Answer 1

A linear equation in the slope-intercep form is y = mx + b.

To find the equation, follow the steps below.

Step 01: Substitute the point (0, 10) in the equation.

`\begin{gathered} y=mx+b \\ 10=m\cdot0+b \\ 10=b \end{gathered}`

Then,

`y=mx+10`

Step 02: Substitute the point (-5, 0).

`0=-5m+10`

Subtract 10 from both sides:

`\begin{gathered} 0-10=-5m+10-10 \\ -10=-5m \end{gathered}`

And divide both sides by -5:

`\begin{gathered} (-10)/(-5)=(-5)/(-5)m \\ 2=m \end{gathered}`

Step 03: Write the linear equation.

`y=2x+10`

Answer:

`y=2x+10`