Question

Find the angles between the lines
1) y=2x+3
2y=4x+1

2) 2x+3y=1
3x+2y =4
3) x=O and Y = 2

please give explanation also

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Answer 1

Answer:

Line 1 = 2x-y=4 or y=2x+4

Line 2 = 3x+y=3 or y=-3x+4

and the equaltion of a Straight line is : y = mx + b

y = how far up

x = how far along

m = Slope or Gradient (how steep the line is)

b = the Y Intercept (where the line crosses the Y axis).

Comparing the line equation with our given line of Line 1 and Line 2, we get

m1=2

m2=-3

tanθ = |m1-m2|÷|1+m1*m2| where m1*m2 ≠ -1

tanθ = |5|÷|1–6|

tanθ = |5|÷|-5|

tanθ = |-1| or |1|

θ=atan(1) same as tan-1

θ=45°

I hope this explanation will help you.. !!