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The z intercept occurs when x=y=0. Picture the z axis coming up from the floor. A good example is the corner of a room, The x-y plane is the floor and the z axis the the line coming up from the floor, perpendicular to it. This is the corner of the room. Now when would something intersect that line? It would happen when x=0 and y=0 If the equation is 5x-2y-4z-3=0 setting x and y to zero yields -4z-3=0 or 4z=-3 so z=-3/4
What else can I help you with?
How do you find the equation of a line with the x and y intercept?
If the x intercept is a and the y intercept is b, then the equation of the line is bx + ay = ab
What are the intercepts of 2x-3y-4z equals -24?
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)
Write the equation of the line that has a slope of -8 and a y-intercept of 4?
-12
Write an equation of the line that has a slope of -7 and y intercept 6 in slope intercept form?
Use the slope-intercept form of the line: y = mx + b Here, "m" is the slope, and "b" is the y-intercept, so just replace these variables with the corresponding slope and intercept - and you got your equation. And PLEASE don't ask lots of almost-identical questions, with different slopes and y-intercept. It is really easy to replace the slope and the intercept in this equation.
Y equals mx plus b What is b?
The equation y = mx + b is the equation for a line in slope intercept form, with m being the slope, and b being the y-axis intercept.
What is a math word that starts with the letter z besides zero?
Zillion, Zipf's Law, Zoomeron Equation, z-intercept, z-axis
What are the intercepts for the equation 18x-9y plus 3z equals 18?
18x - 9y + 3z = 18First, just to clean it up a bit, divide both sides of the equation by 3.(This doesn't change the equation or its graph in any way.)6x - 3y + z = 6At the 'x'-intercept, 'y' and 'z' are zero:6x = 6x = 1At the 'y'-intercept, 'x' and 'z' are zero:-3y = 6-y = 2y = -2At the 'z'-intercept, 'x' and 'y' are zero:z = 6
What is a z-intercept?
A z-intercept is a point at which a line crosses the z-axis of a Cartesian grid.
What is z-intercept?
A z-intercept is a point at which a line crosses the z-axis of a Cartesian grid.
What mathematical term starts with the letter y and z?
y intercept and z intercept
What is the slope intercept of an equation?
slope intercept is a kind of equation y=mx+b
What are the intercepts of 2x 3y - 6z 30?
To find the intercepts of the equation (2x + 3y - 6z = 30), set two variables to zero and solve for the third. For the x-intercept, set (y = 0) and (z = 0): (2x = 30 \Rightarrow x = 15) (intercept: (15, 0, 0)). For the y-intercept, set (x = 0) and (z = 0): (3y = 30 \Rightarrow y = 10) (intercept: (0, 10, 0)). For the z-intercept, set (x = 0) and (y = 0): (-6z = 30 \Rightarrow z = -5) (intercept: (0, 0, -5)).
How do you find the x intercept on a linear equation?
At the x-intercept on the graph of the equation, y=0. Take the equation, set 'y' equal to zero, and solve the equation for 'x'. The number you get is the x-intercept.
What part of the general slope-intercept equation represents the y-intercept?
y=mx+b is the general slope intercept equation and b represents the y intercept.
What is the distance between z-intercept from x-intercept in the equation ax plus by plus cz equals d?
-- At the z-intercept, x=0, y=0, cz=d, so z=d/c.-- At the x-intercept, y=0, z=0, ax=d, so x=d/a.The distance between the two points is sqrt[ (d/c)2 + (d/a)2 ] or d sqrt[ (1/c)2 + (1/a)2 ].
How do you find the equation of a line with the x and y intercept?
If the x intercept is a and the y intercept is b, then the equation of the line is bx + ay = ab
What part of the general slope intercept equation represents the slope?
The general form of the slope-intercept equation is y = mx + b. In that equation, the slope is m and the y intercept is b.
