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What is the slope of a line which passes through points (-7,2) and (21,-10)?

User Mozes Ong
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1 Answer

4 votes

Answer: slope = - ³/₇

Step-by-step explanation:

The question gives us two points, (-7,2) and (21,-10), from which we can find the slope and later the equation of the line.

Finding the Slope

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (2 - (- 10)) ÷ (-7 - 21)

= - ¹²/₂₈

= - ³/₇

Checking my answer:

We can use the slope we found and a point to write the equation of a line. If the line passes through both points, then we calculated the slope correctly.

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y + 10 = - ³/₇ (x - 21)

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

What is the slope of a line which passes through points (-7,2) and (21,-10)?-example-1
User AmirtharajCVijay
by
8.7k points

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