Graphs Using SlopeIntercept Form
Key Questions

If your line goes through two distinct points of the equation, then your line is correct.
I hope that this was helpful.

You can choose any nonzero value
#x_2# for#x# and plug it into the equation of the line you are working on to find the corresponding#y# coordinate#y_2# . Your second point is#(x_2,y_2)# .
I hope that this was helpful.

The equation of a line in explicit form is:
#y=mx+q# , where#m# is the slope and#q# the yintercept.It is easier to show the procedure with some example:
#y=2# : this line is parallel to the xaxis and it passes from the point#P(0,2)# .#x=3# : this line is parallel to the yaxis and it passes from the point#P(2,0)# .#y=x+1# : this line is parallel to the bisector of the I and III quadrants and it passes from the point#P(0,1)# .graph{x+1 [10, 10, 5, 5]}
#y=x1# : this line is parallel to the bisector of the II and IV quadrants and it passes from the point#P(0,1)# .graph{x1 [10, 10, 5, 5]}
#y=2/3x+1# : we have to find the point#P(0,1)# , from this point we have to "count" 3 units to the right and then 2 units to the up, so we can find the point #Q(3,3), then we have to join the two point found.graph{2/3x+1 [10, 10, 5, 5]}
#y=1/2x1# : we have to find the point#P(0,1)# , from this point we have to "count" 2 units to the left and then 2 units to the up, so we can find the point #Q(2,0), then we have to join the two point found.graph{1/2x1 [10, 10, 5, 5]}
The difference in these two last examples is the "choice" of the "right" and the "left". Right, if the
#m# is positive; left, if the#m# is negative.
Questions
Graphs of Linear Equations and Functions

Graphs in the Coordinate Plane

Graphs of Linear Equations

Horizontal and Vertical Line Graphs

Applications of Linear Graphs

Intercepts by Substitution

Intercepts and the CoverUp Method

Slope

Rates of Change

SlopeIntercept Form

Graphs Using SlopeIntercept Form

Direct Variation

Applications Using Direct Variation

Function Notation and Linear Functions

Graphs of Linear Functions

Problem Solving with Linear Graphs