SOLUTION: How would you graph 4x+3y=-24 show it to me in a graph

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Question 1210574: How would you graph 4x+3y=-24 show it to me in a graph
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39792) About Me  (Show Source):
You can put this solution on YOUR website!
You could put the equation into slope-intercept form, and plainly read the slope and vertical axis intercept from the equation to make the graph.

3y=-4x-24
y=-%284%2F3%29x-8
Slope is -4%2F3 and a point on the line is (0, -8).

graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C-4x%2F3-8%29

Answer by greenestamps(13326) About Me  (Show Source):
You can put this solution on YOUR website!


As the other tutor says, you COULD put the equation in slope-intercept form and make the graph using the slope and y-intercept.

However, when the given equation is in this form, finding the equation in slope-intercept form requires extra algebra work.

Instead, use the x- and y-intercepts.

OOPS!!! I didn't see the "-" on the right side of the equation....

Here is my corrected response.

The x-intercept is the x value when y is 0:
4x%2B3%280%29=-24
4x=-24
x=-24%2F4=-6
The x-intercept is (-6,0)

The y-intercept is the value of y when x is 0:
4%280%29%2B3y=-24
3y=-24
y=-24%2F3=-8
The y-intercept is (0,-8)

Two points on the graph are (-6,0) and (0,-8). The graph is the straight line containing those two points.

graph%28400%2C400%2C-8%2C12%2C-8%2C12%2C%28-4%2F3%29x-8%29

Note that drawing the graph by using two known points is easier than by using the slope and y-intercept. So this method of drawing the graph requires no extra algebra, and the actual drawing of the graph is easier.

Answer by ikleyn(53746) About Me  (Show Source):
You can put this solution on YOUR website!
.
How would you graph 4x+3y=-24 show it to me in a graph
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This equation is linear, so, it represents a straight line.

To graph a straight line, it is enough to have two points on a coordinate plane, or on a graph paper.

A simplest way to get two points is as follows. 


    (1)  Plug  x = 0  into equation. You will get

            3y = -24,

        which gives you y = -8.


        So, one point is  A = (x,y) = (0,-8).  You can place it in a graph paper.



    (2)  Next, plug  y = 0  into equation. You will get

            4x = -24,

        which gives you x = -6.


        So, another point is  B = (x,y) = (-6,0).  You can place it in a graph paper.



    (3)  Having two points, A and B in a graph paper, you take a straightedge and a pencil and draw
         straight line through points A and B.


It is the way, how the students made this job 100, and 200, and 300 years ago.

In our days, you can use the advantages of technology.

Go to website https:\\www.desmos.com/calculator

Find there free of charge plotting tool for common use.

Print your equation there and get the plot in the next instance.