SOLUTION: Good Morning, How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in a

Algebra ->  Graphs -> SOLUTION: Good Morning, How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in a      Log On


   



Question 329419: Good Morning,
How do you graph and label equations. This is concerning slope, and y=mx+b. I have Math packets that i can reference to but they dont teach how to label x and y in an equation(based on y=mx+b). Tahnk you

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The x-axis is horizontal.
The y-axis is vertical.
Ordered pairs are presented in (x,y) format.
Point (3,2) is here.

Lines can be presented in slope intercept form, y=mx%2Bb where m is the slope and b is the y-intercept.
The y-intercept is where the line crosses the y-axis.
As an example, here is the graph of y=x%2B1 which has a y-intercept of (0,1),
.
.
.

.
.
.
You can graph an equation given the slope-intercept form in the following way.
First plot the intercept, (0,b).
Then use the slope to determine another point on the line.
The slope describes the change in y divided by the change in x for each point on the line.
As an example, let's graph y=3x-4
Plot the point (0,-4)
.
.
.

.
.
.
Next use the slope.
THe slope of the equation is m=3 which means that for each 1 unit change in x, the change in y is 3 units since m=3%2F1=3.
So then start at the y-intercept (0,-4) and determine another point.
x:0%2B1=1
y:-4%2B3=-1
Another point of the line would be (1,-1).
You can double check by finding the slope using the two points,
m=%28y2-y1%29%2F%28x2-x1%29=%28-1-%28-4%29%29%2F%281-0%29=3%2F1=3
So then plot the point (1,-1).
.
.
.

.
.
.
A straight line only needs two points to define it.
Draw the straight line that includes the two points.
.
.
.

.
.
.
So now you have the graph of y=3x-4.