Solve the problem for the given information.
-Find the equation of a line passing through the origin and making a 45° angle with the positive x-axis.
A) $y = - x$
B) $y = \frac { \sqrt { 3 } } { 3 } x$
C) $y = x$
D) $y = \frac { \sqrt { 2 } } { 2 } x$

Question

Solve the problem for the given information.
-Find the equation of a line passing through the origin and making a 45° angle with the positive x-axis. 
A) $y = - x$
B) $y = \frac { \sqrt { 3 } } { 3 } x$
C) $y = x$
D) $y = \frac { \sqrt { 2 } } { 2 } x$

Quizplus · Accepted Answer

The slope of a line making a 45° angle with the positive x-axis is 1 (since tan(45°) = 1), and since it passes through the origin, its equation is $y = x$.

Solve the Problem for the Given Information y=−xy = - xy=−x

Solve the Problem for the Given Information $y = - x$