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Laabri

Equations of parallel and perpendicular lines with Desmos

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Last updated over 6 years ago
6 Nsɛmmisa

Open the website:

https://www.desmos.com/calculator

We want to answer the question:

What is the equation of the line that is parallel to the line y=-3/4x+2 that goes through the point (-4, 2)?

On desmos.com, graph the original equation by typing y=-3/4x+2 in the first line.

On desmos.com, graph the point by typing (-4, 2) in the second line.

It should look like this.

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Start at the point and count down 4, over 3 until you land on the y-intercept.

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Add the y-intercept to your equation on line #3.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Our new line needs to be parallel to the original line. Parallel lines have the SAME slope. What is the slope of the new line? Type that on line #3 in desmos.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

To write the equation of the line, we need two things. What is one?

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

What is the other one?

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What is the y-intercept

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Is your equation parallel to the original line (y=-3/4x+2)

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Is your y intercept on -1?