The equation of the straight, line passing through origin and inclined at angle 45° to the line
y = 2x + 7 is
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Step-by-step explanation:
Let y=mx+c be the equation then,
we know that when angle between two line is θ, then
tanθ=
1+m
1
m
2
m
1
−m
2
tan45°=
1+m⋅2
m−2
⇒m−2=2m+1
⇒m=−3
∴y=−3x+c passes through (1,2)
∴c=2+3=5
∴y+3x=5 is the equation.
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