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Answer: slope = - ¹³/₁₇
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Step-by-step explanation:
The question gives us two points, (9,-6) and (-8,7), 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)
= (7 - (- 6)) ÷ (-8 - 9)
= - ¹³/₁₇
<em><u>Checking my answer:</u></em>
Finding the Equation
<em>We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:</em>
<em> ⇒ </em><em>y - (-6) = - ¹³/₁₇ (x - 9)</em>
<em> </em>
<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>
3x + 10 + 2x -60 + 3x +23 +2x - 13 = 360
10x -40 = 360
10x - 40 +40 = 360 +40
10x = 400
10x/10 = 400/10
x = 40
3x+10 = 3(40)+10 = 130°
2X-60 = 2(40) -60 = 20°
3X+23 = 3(40)+23 = 143°
2x-13 = 2(40)-13 = 67°
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