Answer to Question #297019 in Algebra for austyn

Question

Find the equation of the line.

Through (3,−5)​; perpendicular to y=−10.

Answer 1

Explanations & Calculations

• Equation of a line looks like $\small y = mx+c$
• The line $\small y = -10$ is parallel to $\small x- axis$ and since our line should be perpendicular to this, it should be parallel to $\small y - axis$ hence should have the form $x = p$ .
• Since it lies on the given point, the line turns out to be $\small x = 3$ .
• This line lies on points $\small -\infty \leftarrow (3,3),\,(3,4),\,(3,5),\,(3,6),\,(3,7)\to+\infty$