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3 years ago

A line passes through the points (0, -8) and (5, 10). What is its equation in slope-intercep

Mathematics

1 answer:

DochEvi [55]3 years ago

5 0

<h2>Answer: y = ¹⁸/₅ x - 8 </h2>

Step-by-step 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, (0, -8) and (5, 10), from which we can find the slope and later the equation of the line.

<u>Finding the Slope</u>

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

= (10 - (- 8)) ÷ (5 - 0)

= ¹⁸/₅

<u>Finding the Equation</u>

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

⇒ y - (-8) = ¹⁸/₅ (x - 0)

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

since y - (-8) = ¹⁸/₅ (x - 0)

⇒ y + 8 = ¹⁸/₅ x

∴ y = ¹⁸/₅ x - 8

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

<em />

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Check;

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