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Equation of a Line Passing through Two Points
A line passing through two points can be represented by an equation in the form y = mx + c, where m is the slope of the line and c is the y-intercept. The slope of a line is the change in y divided by the change in x, and the y-intercept is the point where the line crosses the y-axis.
Finding the Slope of the Line Passing through Two Given Points
The slope of the line passing through two given points can be found using the following equation:
\begin{align}
m & = \frac{y_2 – y_1}{x_2 – x_1}
\end{align}
Where:
m = slope of the line
y_1 = first point
y_2 = second point
x_1 = first point
x_2 = second point
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Finding the Equation of the Line Passing through Two Given Points
We are given the points (x 1 , y 1 ) and (x 2 , y 2 ). We want to find the equation of the line passing through these two points.
We can use the slope-intercept form of the equation of a line, y = mx + b, to find the equation of the line.
We know that the slope of a line is the change in y divided by the change in x. So, the slope of the line passing through (x 1 , y 1 ) and (x 2 , y 2 ) is
The y-intercept of the line is b. So, the equation of the line is y = mx + b.
