what is the equation of line passes through (1,3) and the angle from the line with equation y=x+2 to the line is 45°?step by step
Mathematics · Middle School · Tue Nov 03 2020
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the equation of line passes through the point (1,3)Where m(1)=1 by the given equation of line y=x+2 so the equation will be with the angle of 45°
Since the angle between the two lines is 45°
tan 45° = ± m( 2) − m (1 )/1 + m( 1 )m( 2)
1= m(2)−m(1)/1+m(1)m(2), where m(1)is1.
1= +-[m(2)-1/1+m(2)]
1+m(2)=-m(2)+1, considering only the negative value
m(2)=0
Then the equation will be
y-2=0(x-1)
y=2 answer.