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Subtract the equation of one line from the equation of the other

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Q: How can you find the coordinates of two lines mathematically given the equation of both?
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What is the equation for the line with coordinates 2 and 2?

There are an infinity of lines passing through the point whose coordinates are (2,2), each with a different slope [gradient]. The equation of the line will be of the form (y - 2) = m*(x - 2) where m is the gradient.


How do you find the slope intercept and standard forms of a line when the slope is undefined and you are given the coordinates 2 and 4?

When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2


What is the equation in slope intercept form that passes of the given point -73x4 and is parallel?

The equation in slope-intercept form of a line that is parallel to a given line can be written as y = mx + b, where m is the slope of the given line and b is the y-intercept. However, since the slope is not provided in the question, the equation cannot be determined.


Which lines are straight or a triangle has four sides?

None. Mathematically impossible..


What it means to be a solution to a linear system algebraically?

A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.

Related questions

What is the equation for the line with coordinates 2 and 2?

There are an infinity of lines passing through the point whose coordinates are (2,2), each with a different slope [gradient]. The equation of the line will be of the form (y - 2) = m*(x - 2) where m is the gradient.


How do you find the slope intercept and standard forms of a line when the slope is undefined and you are given the coordinates 2 and 4?

When the slope is undefined, you know the line has to be vertical. Vertical lines only have an x in their equations. When you have the coordinates (2,4) with a vertical line, the equation for the slope intercept AND standard form would be the same thing: x=2


What is the equation in slope intercept form that passes of the given point -73x4 and is parallel?

The equation in slope-intercept form of a line that is parallel to a given line can be written as y = mx + b, where m is the slope of the given line and b is the y-intercept. However, since the slope is not provided in the question, the equation cannot be determined.


How do I write the equation of the line that passes through the given point and is perpendicular to the given line Write the answer in slope-intercept form?

The standard equation for a straight line is y = mx + c. Let this be the equation of the original line. Note that m and c are known values. Let the given point coordinates be (a,b)Two straight lines are perpendicular if the product of their gradients (slopes) is -1.The slope (m1) of the perpendicular line is therefore m1 = -1/mWhen y = b then x = a so the equation for the perpendicular line is y = m1x + d, and substituting gives : b = -a/m + d and this will enable d to be calculated.NOTE : In the absence of information for the equation of the original line and the coordinates of the given point then this is a general rather than a specific answer.


How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?

Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.


How are number lines and time lines similar mathematically?

They are lines along which some continuous variable is measured.


Which lines are straight or a triangle has four sides?

None. Mathematically impossible..


Points where lines meet?

Intersection or coordinates


Do you look at the lines of latitude or the lines of longitude first when you are finding the coordinates?

It does not matter whether you look at the lines of latitude or longitude first. Usually coordinates are written latitude, then longitude. Good luck!


What is the significance of the intersection point of two lines?

The coordinates of the point of intersection must satisfy the equations of both lines. So these coordinates represent the simultaneous solution to the two equations that that represent the lines.


What it means to be a solution to a linear system algebraically?

A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.


The differential equation of the family of straight lines y equals mx is?

The differential equation of the family of straight lines y = mx is given by dy/dx = m. This equation represents that the slope of the line at any point is equal to the constant m. Different values of m will yield different lines within the family.