How to graph a line?

Question

How to you graph a line which passes through the point (5, 2/3)

Answer 1

I don't believe you have all the information. You either need the slope of the line which you can then solve the following equation for the slope intercept

 

y=mx+b    (b is the slope intercept, solve by inputting the slope and the point given for x and y)

 

Of if you were given another point you can solve for b again using the slope intercept fomula

 

first by solving for the slope  m = (y₁-y₂)/(x₁-x₂)

 

and then solving for b again

 

Once you have the slope intercept form and you can detrmine points on the line by inserting values for x and determining y.

 

Plot your points and you have graphed the line.

 

Note A - if you were given two points, you could just plot those two points and then draw the line between them.

 

Note B - once you have solve the point intercept b, you can again just plot the points, your original point (5, 2/3) and then the point (0,b). Because the point intercept is the point on the line where x is 0 and y = b.

 

Hope this helps