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Suppose you have the points with coordinates (p, q) and (r, s)
then, provided p is different from r,
the slope of the line is (q - s)/(p - r) = m, say.
Then, if (x, y) is any point on the line,
(x - s)/(y - r) = m
That, after simplification, is the linear equation of the line.
This will be a lot simpler when you have numerical values for p, q, r and s rather than work algebraically throughout.
If p is not different from r, then the equation is x = p (or r), a vertical line.
What else can I help you with?
Is the two points form equation the same as linear equation?
The equations are equivalent.
How do you differentiate linear inequalities in two variables from linear equations in two variables?
Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.
When you graph linear equations by plotting points the points you plot should all be what?
... plotted accurately.
What is a system of equations that has a solution of all points on one line?
Linear system
What are the importance of linear equation?
They are the simplest form of relationship between two variables. Non-linear equations are often converted - by transforming variables - to linear equations.
Is the two points form equation the same as linear equation?
The equations are equivalent.
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
What are the linear systems?
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
What are two or more linear equations using the same variables called?
A system of linear equations.
How do you differentiate linear inequalities in two variables from linear equations in two variables?
Linear inequalities in two variables involve expressions that use inequality symbols (such as <, >, ≤, or ≥), while linear equations in two variables use an equality sign (=). The solution to a linear equation represents a specific line on a graph, while the solution to a linear inequality represents a region of the graph, typically shaded to show all the points satisfying the inequality. Moreover, linear inequalities allow for a range of values, whereas linear equations specify exact values for the variables.
When you graph linear equations by plotting points the points you plot should all be what?
... plotted accurately.
When are two equations independent?
Two equations are independent when one is not a linear combination of the other.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a system of equations that has a solution of all points on one line?
Linear system
What types of equations or inequalities describe points x y that lie on a circle?
Linear equations or inequalities describe points x y that lie on a circle.
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
Can there be more than one point of intersection between the graphs of two linear equations?
Normally no. But technically, it is possible if the two linear equations are identical.
