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Find the slope using algebra Finding the Equation of a Line Given a Point and a Slope. Perpendicular Lines. Graphing Linear Inequalities.

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Equation of a Straight Line. Angle between two lines. Figure 1-7.-Angle between two lines. We obtain this result by using the trigonometric identity for the tangent of the difference between two angles. 1. Find the acute angle between the two lines that have m, = 3 and m2 = 7 for their slopes.

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Equations of Lines • Two points determine a line → if A and B are any two distinct points, then there is one and only one line that contains the points A and B. • A single point and a slope also determine a line. So, given a point and a slope we should be able to find an equation whose graph is the line with the given slope that contains ...

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These are the basic forms of linear equations. Now, to write down a linear equation in one of these forms, keep a few things in mind. First, it helps if you have a visual representation of the linear equation you are trying to write down. So, if you are given two or more points through which your line passes, draw a graph first.

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The point-slope form of a line is another common and useful form of the line. If a line passes through the point (x 0, y 0) and has a slope of m, then the equation of the line can be written. From this form of the equation, it is easy to find the slope if you are given two points.

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A linear equation is an algebraic equation that forms a straight line when graphed. A linear equation can have one or more dependent variables. Linear Rate of Change. Finding the Slope of a Line.