A line passes through the points (0, -8) and (5, 10). What is its equation in slope-intercep
1 answer:
<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>
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Step-by-step explanation:
Easiest and fastest way to do this is to graph the systems of equations and trace where the graphs intersect:
