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Sagot :
Answer:
-2/3
Step-by-step explanation:
m=y2-y1/x2-x1
m=4-(-2)/-17-(-8)
m=4+2/-17+8
m=6/-9
m=-2/3
SOLVING
[tex]\Large\maltese\underline{\textsf{A. \space What is Asked}}[/tex]
Find the slope of the line that contains the points (-8,-2) and (-17,4)
[tex]\Large\maltese\underline{\textsf{B.\space This problem has been solved!}}[/tex]
If we are given two points, we can easily find the slope of the line that passes through the points. With points (y₂, y₁) and (x₂, x₁), the slope is [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex].
Similarly, with points (-8,-2) and (-17,4) the slope is.
[tex]\bf{\dfrac{4-(-2)}{-17-(-8)}}[/tex] | as we can see, it is possible to simplify this further
[tex]\bf{\dfrac{4+2}{-17+8}}[/tex] | simplify
[tex]\bf{\dfrac{6}{-9}[/tex] | reduce
[tex]\bf{-\dfrac{2}{3}}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=-\dfrac{2}{3}}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
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