Subtract the equation of one line from the equation of the other
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.
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
To work out the equation of a straight line a pair of coordinates are needed or a coordinate and its slope. But in general when lines are parallel to each other on the Cartesian plane they have the same slope but with different y intercepts.
None. Mathematically impossible..
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.
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.
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
To work out the equation of a straight line a pair of coordinates are needed or a coordinate and its slope. But in general when lines are parallel to each other on the Cartesian plane they have the same slope but with different y intercepts.
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.
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
They are lines along which some continuous variable is measured.
Intersection or coordinates
None. Mathematically impossible..
It does not matter whether you look at the lines of latitude or longitude first. Usually coordinates are written latitude, then longitude. Good luck!
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.
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.
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.