Respuesta :
The slope of the line (-7,2) and (4,6) is m = 4/11.
What is the slope of the line?
- The measure of the steepness of the line is known as the slope(m).
- The formula to find the slope is [tex]m = \frac{(y_{2}-y_{1}) }{(x_{2} -x_{1} )}[/tex]. where the [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are the coordinates.
The slope of the line:
The coordinates of the slope of the line (-7,2) and (4,6)
Let,
[tex](x_{1},y_{1}) = (-7,2)[/tex]
[tex](x_{2},y_{2}) = (4,6)[/tex]
The slope of the line is [tex]m = \frac{(y_{2}-y_{1}) }{(x_{2} -x_{1} )}[/tex]
Substitute the coordinates in the equation of slope,
[tex]m = \frac{(y_{2}-y_{1}) }{(x_{2} -x_{1} )}\\[/tex]
m = (6-2)/(4-(-7)
m = 4/11
Hence, the slope of the line (-7,2) and (4,6) is m = 4/11.
Learn more about slopes at https://brainly.com/question/5832667
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