2x-3y-4z=-24 has 3 potential intercepts. The x, y and z interceps. To find the x intercept we set y=z=0 This gives 2x=-24 or x=-12 To find the z intercept we set x=y=0 This gives -4z=-24 or z=6 Lastly to find the y intercept, x=z=0 so -3y=-24 and y=8 The x intercept is (-12,0,0), the y intercept is (0,8,0) and the z intercept is (0,0,6)
If 2x - 3y = 7, -3 y = 7 - 2x or y = (2x - 7)/3, or y = (2/3)x - (7/3). The slope is 2/3 and the y-intercept is -(7/3).
2x + 3y = 6 can be written in the standard slope-intercept form of y= mx + c, where 'm' is the slope. 3y = -2x + 6 y = -⅔x + 2 The slope of this linear graph is -⅔.
4xy²(3y-x)-2x²(x-3y)²=4xy²(x-3y)-2x²(x-3y)²=(x-3y)[4xy²-2x²(x-3y)²]=(x-3y)(4xy²-2x³+6x²y)=(x-3y)(-2x³+6x²y+4xy²)=-2x(x-3y)(x²-3xy-2y²)= -2x(x-3y)(x-y)(x-2y)
2x + 3y - x + 5y combine the like terms 2x - x + 3y +5y simple arithmetic x + 8y
2x = 3y - 18At the x-intercept, y = 0 :2x = -18x = -9At the y-intercept, x = 0 :3y - 18 = 03y = 18y = 6
To find the y-intercept, plug 0 in for x: 3y = -12 y = -4To find the x-intercept, plug 0 in for y: 2x = -12 x = -6The y-intercept is y = -4, and the x-intercept is x = -6.
x-intercept:2x = 24x = 12y-intercept:-3y = 24y = -8
2x-3y-4z=-24 has 3 potential intercepts. The x, y and z interceps. To find the x intercept we set y=z=0 This gives 2x=-24 or x=-12 To find the z intercept we set x=y=0 This gives -4z=-24 or z=6 Lastly to find the y intercept, x=z=0 so -3y=-24 and y=8 The x intercept is (-12,0,0), the y intercept is (0,8,0) and the z intercept is (0,0,6)
2x + 3y - 6 = 0At the x-intercept, y=0 :2x - 6 = 02x = 6x = 3At the y-intercept, x=0 :3y - 6 = 03y = 6y = 2
2x + 3y = 12For the y-intercept, x=0:2(0) + 3y = 123y = 12y = 4Therefore, the y-intercept is at y=4, or (0,4)For the x-intercept, y=0:2x + 3(0) = 122x = 12x = 6Therefore, the x-intercept is at x=46, or (6,0)
2x - 3y = 0 y = 2x/3 (at x-intercepts, y = 0) therefore, 2x/3 = 0 x = 0. x = 0 is the x- intercept
7
2x - 3y = 62x = 3y + 63y = 2x - 6y = (2x - 6)/3y = (2/3)x - 2
3y+2x = -x+5 y = -x+5/3 So the y intercept is 5/3
We should always start with slope-intercept form: 2x + 3y = 24 3y = -2x + 24 y = -2x/3 + 8 Once in this form we see that our y-axis intercept is 8. To find our x-axis intercept, we solve the equation substituting 0 for y: 0 = -2x/3 + 8 -8 = -2x/3 x = (-8)(-3/2) x = 24/12 x = 12
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