) Find the acute angle between the lines y = 5x + 6 and y = x
Answers
Answered by
20
hello users ...
solution:-
given equations are
y = 5x +6 ...(1.)
and
y = 1x + 0 ...(2.)
we know that:
slpoe intercept form of line is
y = mx +c
where.
m is the slope of line
here,
slope of first line (m1) = 5
and
slope of second line (m2)= 1
to find the angle between two lines
we know that :
tan θ = | (m1-m2 ) /(1+m1m2) |
where, θ is the angle between two lines.
=>tan θ = | (5-1) / (1+1×5) |
=> tan θ = | 4/6 |
=> θ = tan-¹ (2/3) answer
⭐✡ hope it helps :)
solution:-
given equations are
y = 5x +6 ...(1.)
and
y = 1x + 0 ...(2.)
we know that:
slpoe intercept form of line is
y = mx +c
where.
m is the slope of line
here,
slope of first line (m1) = 5
and
slope of second line (m2)= 1
to find the angle between two lines
we know that :
tan θ = | (m1-m2 ) /(1+m1m2) |
where, θ is the angle between two lines.
=>tan θ = | (5-1) / (1+1×5) |
=> tan θ = | 4/6 |
=> θ = tan-¹ (2/3) answer
⭐✡ hope it helps :)
Similar questions