Sin(a + b) = sin a .cos b + cos a . sin b
Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.
dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)
dy/dx = -1
So the slope is -1. The equation of the line is y=2-x.
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Answer:
C. x=3 and y=−6
Step-by-step explanation:
Step: Solvex−2y=15for x:
x−2y=15
x−2y+2y=15+2y(Add 2y to both sides)
x=2y+15
Step: Substitute2y+15forxin2x+4y=−18:
2x+4y=−18
2(2y+15)+4y=−18
8y+30=−18(Simplify both sides of the equation)
8y+30+−30=−18+−30(Add -30 to both sides)
8y=−48
8y8=−488(Divide both sides by 8)
y=−6
Step: Substitute−6foryinx=2y+15:
x=2y+15
x=(2)(−6)+15
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−6