Draw a graph 3x + 4x = 12.
Answers
TO GRAPH LINES YOU HAVE TO FIND THE INTERCEPT WITH AXES MAKING CERO THE VARIABLES:
THE FIRST POINT TO GRAPH: 3Y-4X=12 TO FIND X INTERCEP WE MAKE CERO THE VARIABLE Y IN THE
EQUATION SO WE HAVE 3(0)-X=12...
0-4X=12 4X=12 WE HAVE X=-12/4=3 X=-3
THE FIRS POINT IS (3,0)
TO FIND THE OTHER POINT WE MAKE CERO THE VARIABLE X: 3Y+2(0)=12 3Y+0=12 3Y=12
3Y=12 WE HAVE Y=12/3=4 SO WE HAVE X=4 THE OTHER POINT WILL BE (4.0)
AND WE HAVE THE 2 NECESSARY
POINT TO MAKE THE LINE....
GRAPH (-3,O) AND (0,4) ON AXES "X" AND "Y"
Answer:
Notice that the terms are linear or constant, so this equation represents a straight line.
We can find the intersections with the
x and y
axes by setting
y or x
equal to zero, or equivalently covering up the corresponding term and solving the resultant equation.
So putting
x=0
we get:3y=12
Dividing both sides by 3
, we find:y=4
So the line intercepts the y
axis (which has equation x=0 ) at the point
(0,4 )
If we instead put y=0
then we get:4=12
and hence:
x=3
We can now draw our line through these two intercepts:
graph{(4x+3y-12)((x-3)^2+y^2-0.01)(x^2+(y-4)^2-0.01) = 0 [-9.21, 10.79, -2.28, 7.72]}