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Q: What is the ordered triples where the plane cuts the y-axis for this equation 3x plus 4y plus 6z equals 12?
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Which of these ordered triples indicates where the plane cuts the y axis for this equation 2x plus 3y plus 6z equals 54?

Since there are no given triplets, none of them!


Using the equation below select the ordered triple that correctly indicates where the plane cuts the z-axis 7x plus 2y plus 3z equals 42?

Using the equation below, select the ordered triple that correctly indicates where the plane cuts the x-axis.3x+4y+8z=12


What is y equals 6x plus 4?

It is a linear equation in two variables, x and y. Any point on the line defined by the equation will satisfy the equation and conversely, any ordered pair that satisfies the equation will represent a point, in the Cartesian plane, will be on the line.


Which of these ordered triples indicates where the plane cuts the z-axis for this equation 7x plus 2y plus 3z equals 42?

7x + 2y + 3z = 42At the z-axis, 'x' and 'y' are both zero.0 + 0 + 3z = 42z = 14The coordinates of the z-intercept (the 'ordered triple') are (0, 0, 14)


Which of these ordered triples indicates where the plane cuts the y-axis for this equation 2x plus 3y plus 6z equals 54?

The list of choices that accompanies the question is really short.2x + 3y + 6z = 54At the y-intercept, 'x' and 'z' are zero.3y = 54y = 18


Why is y equals ax plus b called the linear equation?

It is not. It is called a LINEAR equation. This is because the word linear refers to a line and, if the solutions of the equation, in the form of ordered pairs (x,y), were plotted on a Cartesian plane, they would all lie on a straight line.


In a number plane if x equals negative 2 y equals 9 and in the same plane another x equals negative 1 and y equals 7 what is the linear equation?

A suitable equation for that would be y is equal to negative 2 times x plus five


Which of these ordered triples indicates where the plane cuts the y-axis for this equation 7x plus 2y plus 3z equals 42?

7x + 2y + 3z = 42 The plane intersects each coordinate plane, but since you are interested to know where the plane cuts y-axis, this will happen when the plane cuts xy-plane or yz-plane. So you can set z = 0, or x = 0. So, set z = 0, then the plane will cuts the xy-plane along the line 7x + 2y = 42. If x = 0, then the y-intercept is 42/2 = 21.


What do you call of this equation x2 plus y-3 equals 0?

An equation of a parabola in the x-y plane, is one possibility.


What is 2x-y plus z equals 10?

12


What is the answer to y equals x plus 5?

y equals x plus 5 is the equation of a straight line in the x-y plane.


What type of graph does an equation of the form x equals a where a is any real number have and why?

It is a horizontal line in the Cartesian plane, or a vertical line in the complex plane. The reason is that these points satisfy the equation while no others do.