What is the slope of (-6,-3) and (-2,-8)
2 answers:
<h2>Answer: slope = - ⁵/₄
</h2><h3>Step-by-step explanation:
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The question gives us two points, (-6,-3) and (-2,-8), 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)
= (-8 - (- 3)) ÷ (-2 - (-6))
= - ⁵/₄
<em>Checking my answer:</em><em> </em>
<em><u>Finding the Equation</u></em><em> </em>
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line: </em>
<em> ⇒ y - (-3) = - ⁵/₄(x - (-6))</em>
<em> y + 3 = - ⁵/₄ (x + 6)</em>
<em> </em>
<em> </em>
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<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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Answer:
The slope is: m = -²/₅
The y-intercept is: b = -2
The equation of the line: y = -²/₅x - 2
Step-by-step explanation:
The equation of a line in slope intercept form: y = mx + b
The slope:
(-5, 0) ⇒ x₁ = -5, y₁ = 0
(0, -2) ⇒ x₂ = 0, y₂ = -2
So:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
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