Graphing Linear Equations Worksheet

Linear Equation System

Linear systems of equations are linear equations that are correlated to form a system. The system of equations can consist of one variable, two or more variables. In this discussion, we only discuss systems of linear equations with two and three variables.

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Arithmetic & Geometry Series

Two-Variable Linear Equation System (SPLDV)

A two-variable system of linear equations is a system of linear equations consisting of two equations where each equation has two variables. Example of SPLDV with variables and: where, and are real numbers

SPLDV settlement

Solving SP: DV aims to determine the value that satisfies the two equations in SPLDV. There are several ways to complete SPLDV, namely:

Graph method

In this graphing method, the first steps taken are to determine the line graph of each equation then determine the intersection point of the two lines. The intersection of the two lines is the completion of the SPLDV. General Forms Edit

Ax + By + C = 0, \,}

where the constants A and B are added together, the result is not zero. Constants are written as A ≥ 0, as agreed by mathematicians that they cannot be equal to zero. This equation graph when drawn, will produce a straight line and each line is written in an equation like the one shown above. If A ≥ 0, and x is the intercept, then the x-coordinate point is when the line crosses the x-axis (y = 0) which is represented by the formula -c / a. If B≥ 0, and y as the intercept, then the y-coordinate point is when the line crosses the y-axis (x = 0), which is represented by the formula -c / b.

ax + by = c, \,}

where, a and b add up, do not result in zero and a is not a negative number. This standard form can be changed to the general form, but cannot be changed to all forms, if a and b are zero.

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Gradient intercept shape

 

where m is the slope of the equation line, and the y-coordinate is the y-cross. This can be represented by x = 0, which gives the value y = b. This equation is used to find the y-axis, where you know the value of x. The Y in the formula is the y coordinate that you put on the graph. Whereas X is the x coordinate that you put on the graph.

x = {\ frac {y} {m}} + c, \,}

where m is the slope of the equation line, and c is the x-intercept, and the x-coordinate is the cross of the x-axis. This can be represented by y = 0, which gives the value x = c. The y / m form in the equation itself means that it reverses the slope and multiplies by y. This equation does not find the x coordinate, where the y value is already given.

Graph Linear Functions

The following are some steps for painting a linear function graph, including:

Determining the intersection point with the x axis, y = 0 obtained coordinates A (x1, 0)

Determine the intersection point with the y axis, x = 0 obtained coordinates B (0, y1)

Connect two points A and B to form a straight line. Linear equations which can also be written are written using the symbol y = ax + b. (This is to make it easier for us to understand the image). If b is positive, the linear function will be drawn from the bottom left to the top right

If b is negative, the linear function will be drawn from the top left to the bottom right.

If b is zero then the linear function will be drawn a line parallel to the flat axis x.

 

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