Question
a) Determine an equation for the line with slope 3 and passing through the origin.
b) What is an equation for the line perpendicular to the line in part a) that also passes through the point (0,2)?
b) What is an equation for the line perpendicular to the line in part a) that also passes through the point (0,2)?
Answers
a. Given: m = 3, P(0,0).
Y = mx + b.
0 = 3*0 + b
b = 0.
Eq: Y = 3x.
b. m = -1/3, P(0,2).
Y = mx + b.
2 = (-1/3)*0 + b
b = 2.
Eq: Y = (-1/3)x + 2.
Y = mx + b.
0 = 3*0 + b
b = 0.
Eq: Y = 3x.
b. m = -1/3, P(0,2).
Y = mx + b.
2 = (-1/3)*0 + b
b = 2.
Eq: Y = (-1/3)x + 2.
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