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natita [175]
3 years ago
9

Write the standard form of the line that passes through the given points. include your work in your final answer. type your answ

er in the box provided or use the upload option to submit your solution.(-3, 5) and (-2, -6)
Mathematics
1 answer:
timurjin [86]3 years ago
8 0
Standard form is ax+by=c wher a and b and c ar integers

another
y-y1=m(x-x1)
that is the equation of a line that has a slope of m and passes through (x1,y1)

find slope

slope between the points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

(-3,5) and (-2,-6)
slope=(-6-5)/(-2-(-3))=(-11)/(-2+3)=-11/1=-11

a point is (-2,-6)
y+6=-11(x+2)
distribute
y+6=-11x-22
add 11x both sides
11x+y+6=-22
minus 6 both sides
11x+y=-28
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90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

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Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

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