SlopeIntercept Form
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Key Questions

Answer:
#y = mx + b# Where:
#m# is the slope of the line.
#b# is the yintercept of the line.Explanation:
Consider
#y = x# graph{y=x [10, 10, 5, 5]}
In this equation, the coefficient to
#x# is 1 and our yintercept is 0.We could think of that equation as looking like:
#y = 1x + 0# Notice that the graphed line has a "riseoverrun" of
#1/1# which is just 1 and the line passing through the yaxis at#y=0# 
Answer:
#m# is the slope, while#b# is the yintercept.Explanation:
Any linear equation has the form of
#y=mx+b# 
#m# is the slope of the equation 
#b# is the yintercept
The slope of the line,
#m# , is found by#m=(y_2y_1)/(x_2x_1)# where
#(x_1,y_1)# and#(x_2,y_2)# are the coordinates of any two points in the line.The yintercept,
#b# , is found by plugging in#x=0# into the equation, which results in#y=b# , and therefore is the yintercept.In some cases, if the equation is already arranged for you nicely, like
#y=3x+5# , we can easily find the yintercept for this line, which is#5# .Other times, the equation might not be arranged nicely, with cases such as
#1/2x+3y=5# , in which we solve for the yintercept:#1/2x+3y=4# #3y=41/2x# #y=(1/2x+4)/3# #y=1/6x+4/3# So, the yintercept of this line is
#4/3# . 

The
#y# intercept#b# can be found by reading the#y# axis where the graph hits the yaxis, and the slope#m# can be found by finding any two distinct points#(x_1,y_1)# and#(x_2,y_2)# on the graph, and using the slope formula below.#m={y_2y_1}/{x_2x_1}# .
I hope that this was helpful.
Questions
Graphs of Linear Equations and Functions

1Graphs in the Coordinate Plane

2Graphs of Linear Equations

3Horizontal and Vertical Line Graphs

4Applications of Linear Graphs

5Intercepts by Substitution

6Intercepts and the CoverUp Method

7Slope

8Rates of Change

9SlopeIntercept Form

10Graphs Using SlopeIntercept Form

11Direct Variation

12Applications Using Direct Variation

13Function Notation and Linear Functions

14Graphs of Linear Functions

15Problem Solving with Linear Graphs