217k views
5 votes
Whats the slope of 10x+4y=-20

User Mttk
by
5.6k points

1 Answer

3 votes

Answer:

In Explanation

Explanation:

First, you should put the equation in slope intercept form (y = mx + b), where m is the slope.

10x + 4y = 20

Isolate the y term

10x + 4y – 10x = 20 – 10x

4y = 20 – 10x

Rearrange the terms

4y = –10x + 20

Divide both sides by 4

4y4=−10x+204

y=−104x+5

The slope of the given line is –10/4. A perpendicular line will have a slope with the opposite reciprocal. In simpler terms, you flip the slope and change the sign, therefore, the opposite reciprocal is 4/10.

User Taxiboatdriver
by
5.0k points