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What is an equation of the line passing through the points (-1,7) (-7,1)

User Free
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1 Answer

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Answer: y = x + 8 OR y - 7 = (x + 1)

Explanation:

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-1, 7) (-7, 1), 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)

= (7 - 1) ÷ (-1 - (-7))

= 6 ÷ 6

= 1

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line; where (x₁ , y₁) = (-1, 7):

⇒ y - 7 = (x + 1)

we could also transform this into the slope-intercept form ( y = mx + c)

since y - 7 = (x + 1)

y = x + 1 + 7

⇒ y = x + 8

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

User Grishma U
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