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What is the distance between the z-intercept from the x intercept in the equation ax plus by plus cz plus d equals 0?
ax + by + cz + d = 0
At the z-intercept, 'x' and 'y' are both zero.
cz + d = 0 --> z = -d/c --> The z-intercept is the point (0, 0, -d/c).
At the x-intercept, 'y' and 'z' are zero.
ax + d = 0 --> x = -d/a --> The x-intercept is the point (-d/a, 0, 0).
The distance between the points (0, 0, -d/c) and (-d/a, 0, 0) is
sqrt[ (-d/a)2 + (-d/c)2 ] = sqrt (d2/a2 + d2/c2) = d sqrt(1/a2 + 1/c2)
What else can I help you with?
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Root means solution in this context.
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I am not really sure what you are asking for, but any intercept on the x-axis has a y value of 0, so for any particular x value N, the intercept is at (N, 0).
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The distance covered between two points in time is the area under the graph between the two points.
What does resulant mean?
the distance between x and y
What is the slope of the equation 5x plus 4y equals 8?
The slope is defined as the ratio of the "rise" divided by the "run" between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line. Given two points (x1,y1) and (x2,y2) on a line, the slope m of the line isFor equation:5x + 4y = 8the two intercepts are: (0,2) and (8/5,0)The slope = (2-0)/(0-8/5) = - 10/8 = - 5/4
What is the relationship between the function's equation and the y-intercept?
The y-intercept is the value of the function (if it exists) when x = 0.
What is the relationship between the y-intercept of the line and the equation?
It is the value of the equation y = f(x) when x = 0.
What is the y -intercept and x-intercept to this equation y equals 7x plus 9?
y- intercept is positive 9 (+9). x- intercept is between negative 2 and 3 (-2 to -3)
How do you interpret the y-intercept?
where as y-intercept on y-axis is distance between origin to the poin on y-axis How do you interpret the y-intercept as in statistics
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 ].
What is the difference between the y axis and the y intercept?
The y intercept is the point along the y axis at which the line (or curve) intersects. So, if your the line graphed from your equation crosses the y axis at y=1, then 1 is the y intercept. x will always be equal to zero at the y intercept, so if you plug 0 in for x and solve the equation, you get the quantity of the y intercept.
how slope intercept form important?
When comparing data between the x and y axes on the Cartesian plane it is important to learn about the slope-intercept straight line equation.
Between two points on a line the x changes by a distance of 3 units and the y changes negatively by a distance of 5 units The line crosses the y-axis at negative three What is the equation of the li?
The equation of a line has the general formula y(x) = sx + k, where s is the slope of the line and k the y-intercept. From the problem statement, the slope is -5/3 and the intercept - 3; therefore y(x) = -(5/3)x - 3.
Table to Linear Equation?
You get the linear equation from a table by: Seeing the difference between the y coordinates and that should give you slope. Then find the point where x = 0 and at that point the y coordinate associated with the x is the y intercept and at the point where y = 0 the x coordinate associated is the x intercept. apply the y intercept and slope to the equation y = mx + c with m being the slope and c being the y intercept
What is the distance between x-intercept and the z-intercept in the equation2x plus 9y-3z equals 18?
2x + 9y - 3z = 18At the x-intercept, y' and 'z' are zero.2x = 18x = 9 . . . . . The intercept is (9, 0, 0)At the z-intercept, 'x' and 'y' are zero.-3z = 18z = -6 . . . . . The intercept is (0, 0, -6)The distance between the points is sqrt [ (9)2 + (0)2 + (-6)2 ] = sqrt(117) = 10.8167 (rounded)
What is the distance of the z-intercept from the x-intercept in the equation ax by czd?
That would be an interesting problem, and we would attack it with relish and gusto, if only we had an equation. But ax/czd is not an equation, as it doesn't describe the relationship between 'x' and 'z' ... or 'y' either if 'y' is involved. Also, in order to find the intercepts, we're going to need to know the values of any constants, such as the 'a', 'c', and 'd' shown. Otherwise, the intercepts can be given only in terms of the constants.
How can you go between tables and graphs and equations?
from a table to a graph just graph x and y (on a coordinate plane) from table to equation find the slope of the line and the y intercept. your equation should be in the form y=mx+b where m is the slope and b is the y intercept
