3x+4y=-4 can be graphed on a graphing calculator or by changing the form of the equation from standard form to slope intercept form.
Rearrange the equation
4y=-3x-4
divide by 4
y=(-3/4)x-1
Now, you can simply graph the equation using the y intercept and the slope of the equation.
A good point to start with is (0,-1) you know this point is the y intercept because of the standard y intercept equation y= mx+b where b is the y intercept and m is the slope.
From the y intercept of (0,-1) you can then graph using the slope which is the change of y over change in x. So you would move up 3 and to the left 4 since the slope is negative. You can also move down three and to the right 4. Then continue, this process until you have the equation graphed. It should be a straight line.
-5
It is: 3x+4y which is an algebraic expression
y = 3x 3x + 4y = 30 3x + 4(3x) = 30 3x + 12x = 30 15x = 30 x = 2 y = 3x y = 3(2) y = 6 (2, 6)
1
7(3y-2)-(-4y+9)
The lines are parallel.
(2, -1)
They are the same equation just written differently so they are both easy to graph.
-5
Sensible but hard to explain
3x+4y = 8 4y = -3x+8 y = -3/4x+2 in slope intercrpt form It has a negative slope so the straight line goes 'downhill'
2x + 3y = 17 3x + 4y = 24 (2x + 3x) + (3y + 4y) = (17 + 24) 5x + 7y = 41
3x + 4y - 4 = 0 y = -2 3x + 4(-2) - 4 = 0 3x - 8 - 4 = 0 3x = 12 x = 4 (4,-2)
Here they are in there slope intercept forms. y = -3/4x + 2 [3x+4y=8] y = -3/4x + 2 [y=-0.75x+2] Well look at that they are the same. How do you like that. So they much be equal easy to graph.
4y = 3x+11 or as y = 3/4x+11/4
x = 4 and y = 0
(-1, 5)