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Q: Is the two points form equation the same as linear equation?

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A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed

Yes.

Functions and linear equations are the same in that they both deal with x and y coordinates and points on a graph but have differences in limitations, appearance and purpose. Often, functions give you the value of either x or y, but linear equations ask to solve for both x and y.

y=-.0075x+18.5

The graph, in the Cartesian plane, of a linear equation is a straight line. Conversely, a straight line in a Cartesian plane can be represented algebraically as a linear equation. They are the algebraic or geometric equivalents of the same thing.

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No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.

Although there are similarities, the solutions to a linear equation comprise all points on one line: a one-dimensional object. The solutions to a linear inequality comprise all points on one side [or the other] of a line: a two-dimensional object.

A linear equation with an undefined slope is an equation where, when graphed, forms a vertical line. For example: when given 2 points: (2, 4) (2,7) ~ The x-values are the same, while the y-values differ, which would create a vertical line when the points are graphed

They are not. An inequality cannot, by definition, be the same as an equation.

They are the same.

Yes.

Yes, they refer to the same thing.

No. A function need not be linear. For example, y = sin(x) is a function of x but it is not a linear equation.

-- The graph of a linear equation is a straight line. -- Any two points on a straight line are enough to completely specify the line, that is, to uniquely identify the line and tell you everything there is to know about it.

A linear equation looks like any other equation. It is made up of two expressions set equal to each other. A linear equation is special because: It has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make the linear equation true and plot those pairs on a coordinate grid, all of the points for any one equation lie on the same line. Linear equations graph as straight lines.

Single answer. Coincidental (same equation), No solution.

No....not necessary

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