Answer:
equation for line: y = 5/3x -7/3
Step-by-step explanation:
The equation for a linear line is y = mx + c. m is the gradient of the line, also known as slope. So, m = 5/3.
Next we need to find c. Since we know a point the line must intersect, we can sub this into our line equation to get an answer:
(2,1) x=2,y=1
1 = 5/3*2 + c
1 = 10/3 + c
1 - 10/3 = c
3/3 - 10/3 = c
-7/3 = c
The final eqaution of the line is: y = 5/3x -7/3
Answer:
y= 2/1 + 0
Step-by-step explanation:
If there's not a y-int. it'll be 0.
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.