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Writing Linear Equations in Point-Slope Form

Writing Linear Equations in Point-Slope Form 1.5 - Solution

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We can write the equation for the line that connects the points in point-slope form. Here, where represents the slope and is a point on the line. To write the equation, we'll first need to determine the slope. To do this, we will use the slope formula and our two points.
The slope of the line is We can now substitute the value for in the formula. We should now write two equations of the line. Thus, we will use both our points, and and substitute them for  and to form two equations. Any point that lies on the line can be used to write an equation in point-slope form. Our answer will be