Write equation given y-intercept (0,-2) and angle of inclination 120 degrees

[g_raas]

Hello,

First time poster, so greetings and thank you in advance for any assistance you are able to offer.

I am working with plane analytic geometry in college and I am not sure how angle of inclination is used in writing a linear equation. I believe if you divide slope value you get the angle of inclination as a result, but how do you get slope value from angle of inclination, or is that not even how you do it either?

I tried my textbook and googling and cant seem to find any worked problems for something similar. If you can help, that would be awesome!

Thanks!

 

[Harry_the_cat]

Hello,

First time poster, so greetings and thank you in advance for any assistance you are able to offer.

I am working with plane analytic geometry in college and I am not sure how angle of inclination is used in writing a linear equation. I believe if you divide slope value you get the angle of inclination as a result, but how do you get slope value from angle of inclination, or is that not even how you do it either?

I tried my textbook and googling and cant seem to find any worked problems for something similar. If you can help, that would be awesome!

Thanks!

The gradient of a line is tan(angle made with the positive x-axis).

 

[g_raas]

Thanks very much for your response, I really appreciate it - though, I am not sure what that means. Does that mean the numeric value of Tan is a part of the slope equation?

The gradient of a line is tan(angle made with the positive x-axis).

If for instance I was going to write an equation out of this 'Y-intercept (0,-2) and angle of inclination 120 degrees' where would I start? Can you point me in the right direction or maybe a worked solution somewhere so I can follow?

 

[Otis]

Does that mean the numeric value of Tan is a part of the slope equation?

It means that the value of tan(angle) is the slope.

If for instance I was going to write an equation out of this 'Y-intercept (0,-2) and angle of inclination 120 degrees' where would I start?

Determine the value of tan(120 deg). That is the slope of the line.

To read more about this, google these keywords: write equation line given angle inclination

 

[Harry_the_cat]

Thanks very much for your response, I really appreciate it - though, I am not sure what that means. Does that mean the numeric value of Tan is a part of the slope equation?

If for instance I was going to write an equation out of this 'Y-intercept (0,-2) and angle of inclination 120 degrees' where would I start? Can you point me in the right direction or maybe a worked solution somewhere so I can follow?

The equation of a straight line is y=mx+c where m is the slope and c is the y-intercept.
The slope is tan A where A is the angle of inclination (measured anti-clockwise from the x-axis)