Finding the Equation of a Line Through the Origin

Thread starter genesis0531
Start date Dec 4, 2011
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Line Origin

In summary, the equation for a line passing through the origin is y = mx, where m is the slope of the line. To find the slope of a line passing through the origin, you can choose any two points on the line and use the slope formula. The equation for a line passing through the origin does not have a y-intercept since the line passes through the origin and the y-intercept is always at x = 0. To graph a line passing through the origin, you only need to plot the point (0,0) and use the slope to find other points on the line. You can also find the equation of a line passing through the origin from a graph by calculating the slope using any two points and substituting

Dec 4, 2011

genesis0531

Homework Statement

find the equation of the line through the origin and with angle of inclination tan inverse 5/7

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Dec 4, 2011

hunt_mat

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FAQ: Finding the Equation of a Line Through the Origin

What is the equation for a line passing through the origin?

The equation for a line passing through the origin is y = mx, where m is the slope of the line.

How do you find the slope of a line through the origin?

To find the slope of a line passing through the origin, you can choose any two points on the line and use the slope formula (m = (y2-y1)/(x2-x1)). Since the line passes through the origin, one of the points will always be (0,0), making the calculation simpler.

Can the equation of a line through the origin have a y-intercept?

No, the equation for a line passing through the origin (y = mx) does not have a y-intercept since the y-intercept is the point where the line crosses the y-axis, which is always at x = 0. Since the line passes through the origin, x = 0 and there is no y-intercept.

How do you graph a line through the origin?

To graph a line passing through the origin, you only need to plot the point (0,0) and use the slope to find other points on the line. Plot these points and connect them to create a straight line.

Can you find the equation of a line through the origin from a graph?

Yes, you can find the equation of a line passing through the origin from a graph by calculating the slope (m) using any two points on the line, and then substituting the slope into the equation y = mx. The resulting equation will be the equation of the line passing through the origin.