SOLUTION: graphing lines in standard form 4x-y=3

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: graphing lines in standard form 4x-y=3      Log On


   

Question 283595: graphing lines in standard form 4x-y=3
Found 2 solutions by oberobic, jim_thompson5910:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
A linear equation in standard form is: Ax + By = C
.
We have:
4x -y = 3
.
That is already in standard form.
.
To graph a line, you need two points.
.
I usually pick the y-intercept and x-intercept.
The y-intercept is where x=0.
The x-intercept is where y=0.
.
y-intercept:
4(0) -y = 3
-y = 3
y = -3
(0,-3)
.
x=intercept:
4x -0 = 3
4x = 3
x = 3/4
(3/4,0)
.
Now you can graph it.
.
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C4%2Ax-3%29

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
4x-y=3 Start with the given equation.


-y=3-4x Subtract 4x from both sides.


-y=-4x%2B3 Rearrange the terms.


y=%28-4x%2B3%29%2F%28-1%29 Divide both sides by -1 to isolate y.


y=%28%28-4%29%2F%28-1%29%29x%2B%283%29%2F%28-1%29 Break up the fraction.


y=4x-3 Reduce.


Looking at y=4x-3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=4 and the y-intercept is b=-3


Since b=-3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis

So we have one point




Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun

Also, because the slope is 4, this means:

rise%2Frun=4%2F1


which shows us that the rise is 4 and the run is 1. This means that to go from point to point, we can go up 4 and over 1



So starting at , go up 4 units


and to the right 1 unit to get to the next point



Now draw a line through these points to graph y=4x-3

So this is the graph of y=4x-3 through the points and