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Math 1: Algebra, Geometry and Statistics Ms. SheppardBrick 617.596.4133 http://lps.lexingtonma.org/Page/2434 Name: Date: Equations of Lines Guided Notes Section 4.02 Theorem: the between any two on
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How to fill out equations of lines guided:

01
Start by identifying the two points on the line. These points can be given to you or you can find them by using the slope-intercept form of an equation.
02
Determine the slope of the line using the following formula: slope = (change in y)/(change in x). Calculate the change in y by subtracting the y-coordinate of one point from the y-coordinate of the other point, and do the same for the x-coordinate to find the change in x.
03
Once you have the slope, you can use it along with one of the given points to write the equation of the line in slope-intercept form, which is y = mx + b. Plug in the slope for m, one of the points for x and y, and solve for b.
04
Solve for b by rearranging the equation to isolate b. This can be done by subtracting mx from both sides of the equation.
05
Finally, substitute the values of m and b that you found into the equation y = mx + b to get the complete equation of the line.

Who needs equations of lines guided:

01
Students studying algebra or geometry may need equations of lines guided to understand the process of finding the equation of a line given two points.
02
Engineers and architects may also use equations of lines guided in order to determine the equations for different lines in their designs or calculations.
03
Mathematicians and researchers may need equations of lines guided to analyze and model linear relationships in various fields such as physics or economics.
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Equations of lines guided are mathematical expressions that describe the relationship between points in a two-dimensional space.
Math students and professionals who work with geometric functions are required to file equations of lines guided.
Equations of lines guided can be filled out by inputting the slope and y-intercept of the line.
The purpose of equations of lines guided is to provide a visual representation of a line's position in a coordinate plane.
Equations of lines guided must include the slope and y-intercept of the line.
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