What are the 3 rules for a linear equation to be in standard form?
Summary of Standard Form Rules for Linear Equations: Must have the form Ax+By=C. A, B, and C must be integers (not fractions) A can not be negative. A, B, and C should have no common factors other than 1.
How do you find the ordered pair of a linear equation?
Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
Why should you always find a third point when graphing a linear equation?
To graph a linear equation by plotting points, you can use the intercepts as two of your three points. Find the two intercepts, and then a third point to ensure accuracy, and draw the line. This method is often the quickest way to graph a line.
How do you find the standard form of a linear equation?
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it’s pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
How do you find a linear equation?
The slope-intercept form of a linear equation is y = mx + b. In the equation, x and y are the variables. The numbers m and b give the slope of the line (m) and the value of y when x is 0 (b). The value of y when x is 0 is called the y-intercept because (0,y) is the point at which the line crosses the y-axis.
How can you graph an equation that is linear?
If you know an equation is linear, you can graph it by finding any two solutions. ( x 1 , y 1 ) and ( x 2 , y 2 ) , plotting these two points, and drawing the line connecting them.
How to graph the slope of an equation?
Plot these two points and draw the line connecting them. If the equation is in slope-intercept form or point-slope form , you can also use the slope to help you graph. Graph the line y = 3 x + 1 . From the equation, we know that the y -intercept is 1 , the point ( 0, 1) and the slope is 3 .
How to find the solution of a linear equation?
To find out whether an ordered pair is a solution of a linear equation, you can do the following: Graph the linear equation, and graph the ordered pair. If the ordered pair appears to be on the graph of a line, then it is a possible solution of the linear equation.
How to graph the equation x + 2 y = 7?
Graph the equation x + 2 y = 7 . You can find two solutions, corresponding to the x -intercepts and y -intercepts of the graph, by setting first x = 0 and then y = 0 . When x = 0 , we get: When y = 0 , we get: So the two points are ( 0, 3.5) and ( 7, 0) .