Respuesta :
for points (x1,y1) and (x2,y2)
the slope is (y2-y1)/(x2-x1)
for (3,8) and (-2,5)
x1=3
y1=8
x2=-2
y2=5
slope=(5-8)/(-2-3)=-3/-5=3/5
answer is 3/5
the slope is (y2-y1)/(x2-x1)
for (3,8) and (-2,5)
x1=3
y1=8
x2=-2
y2=5
slope=(5-8)/(-2-3)=-3/-5=3/5
answer is 3/5
The slope of a line for given points is 3/5. Thus option 3/5 is the correct answer.
What is the slope of a line?
"The slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line. Sometimes the ratio is expressed as a quotient ("rise over run"), giving the same number for every two distinct points on the same line".
For the given situation,
The points are (3, 8) and (-2, 5).
The formula for the slope of a line is (y2-y1) / (x2-x1).
⇒ [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} } =\frac{5-8}{-2-3}[/tex]
⇒ [tex]\frac{-3}{-5}[/tex]
⇒ [tex]\frac{3}{5}[/tex]
Hence we can conclude that the slope of a line for given points is 3/5. Thus option 3/5 is the correct answer.
Learn more about the slope of a line here
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