Question

the slope of a line passing though (-5,10) and (-9,3) is?

Answer 1

Two generic points that define a straight line are (x1, y1) and (x2, y2)


In this case, (x1, y1) = (-5, 10), which means x1=-5 and y1=10


and (x2, y2) = (-9, 3), which means x2=-9 and y2=3



So

x1=-5, y1=10,
x2=-9, and y2=3.


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Now use the slope formula (and plug those values in found earlier)



m = (y2-y1)/(x2-x1)


m = (3-10)/(-9-(-5))


m = (3-10)/(-9+5)


m = (-7)/(-4)


m = 7/4



So the slope of the line that passes through the two points is 7/4