2.2 Standard Equations of a Linear Function
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Standard Equations of a Linear Function
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Standard Equations of a Linear Function
Transcript of 2.2 Standard Equations of a Linear Function
Standard Equations of a Linear Function
In geometry, you learned that two points determine a line; that is, the line that contains two given points is unique. If P1(x1, y1) and P2(x2, y2) are two such points, the slope of the line that contains them is given byIf P(x, y) represents any other point on this line, then you can also computer the slope using P and P1, so that
Since the slope of a line is constant, you must haveThis equation is called the two-point form of the equation of a line since it can be formed using two points on the line.
Write the equation of each of the lines described below in general form and draw the line.1. The horizontal line 2 units below the x-axis2. The line that passes through the origin and has a slope of -23. The line parallel to the line 3x-2y-4=0 and that passes through the point (-1, 2)4. The line that intersects the x-axis at a point two units to the right of the origin and intersects the y-axis at the point (0, -3)5. The line that passes through the points (-1, 5) and (2, -1)
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