How to find slope and y-intercept and how to graph it

Question

How to find slope and y-intercept and how to graph it.

Answer 1

 Equation of a line is always in a binomial form. I.e  Y = mx + b

 

           m is the slope,  and b is  Y intercept.

 

             Y intercept is the point which graph of line crosses the Y- axis , all points on the y axis have X =0.

 

             So  if  in equation  Y = mx +b , let X = 0   , then  Y = m(0) = b , and b is the Y intercept.

 

              Slope is the steepness of a line in graph, and it is= change in Y value/ change in X value.

 

                To graph from ( 0, b)  with slope of m/ n go m unit up, for m>0, and n unit right, to find the second point and connect.

                 

                  for  m<0 go m unit down and n right, then connect.

Answer 2

Y-Intercept is simply wherever your line crosses the Y axis (where your line 'intercepts' the y-axis).

 

Slope can be found with a simple formula - if you have two sets of points on a graph, all you need to do is plug in values:

 

y^2-y¹

_____ = slope

x²-x¹

 

If your line crosses through (3,4) and (1,5), your slope equation would looks like this:

 

5-4       1

___ = ____

 

1-3       -2

 

 

Therefore, your slope for this line with these points, is -1/2.

 

Your slope intercept equation is y=mx+b.

 

M stands for slope, and b is your y-intercept.

 

 

Your slope intercept equation for this line would be y= -1/2x + 6.

 

 

To graph, you would plot your points (remember, x is the horizontal line- first number in your points, and y is the vertical line - second number in your points). Connect the dots, being sure to draw your line out further than the two (or three) sets of points to indicate that it is a line, and not a line segment (small piece of a line).