2018年11月13日 · How do you find a line that goes through a given point and is parallel or perpendicular to a given slope? Example: Through (-4,5) parallel to y = -2x - 3.
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A line that's flat has a slope of 0. If a line goes up as you move to the right, it has a positive slope. The steeper it is, the bigger the slope. If a line goes down as you move to the right, it has a negative slope. The steeper it is, the more negative the slope.
For example, we can see that opposite sides of a parallelogram are parallel by writing a linear equation for each side and seeing that the slopes are the same. In analytic geometry, also known as coordinate geometry, we think about geometric objects on the coordinate plane.
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You got the general formula right, but you got confused on step 1 or 2. Slope is definitely delta y/delta x, but, to make it easier, it is also y₂ - y₁/x₂ - x₁. You can plug in the coordinate values as: (1 - 3) / (0 - (-1)) which is -2/1, or -2