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- The truth of it is, no-one really knows. There are several stories around that say it's the first letter for slope in various languages, or that it's derived from the Latin mons (which means mountain), but none of these has any evidence to substantiate them.
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What is a point slope form?
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5 years ago. Point slope form and slope intercept form are both ways of expressing the equation of a straight line. Point slope form emphasizes the slope and ANY point on the line. Slope intercept form just shows the slope and the y-intercept of a line.
- Intro to point-slope form | Algebra (video) | Khan Academy
Point-slope is the general form y-y₁=m(x-x₁) for linear...
- Point-slope form review | Linear equations - Khan Academy
Problem 1. What is the slope of the line y − 5 = − 4 ( x −...
- Intro to point-slope form | Algebra (video) | Khan Academy
If line L passes through the point \(\left(x_{0}, y_{0}\right)\) and has slope m, then the equation of the line is \[y-y_{0}=m\left(x-x_{0}\right) onumber \] This form of the equation of a line is called the point-slope form.
Mar 1, 2022 · Where does the form come from? Point-slope form of a line is determined by the slope of the line and any point that exists on the line. The purpose of the form is to describe the equation of the entire line when given a point on the line and the slope.
Now let us see how to use it. Example 1: slope "m" = 3 1 = 3. y − y 1 = m (x − x 1) We know m, and also know that (x1, y1) = (3, 2), and so we have: y − 2 = 3 (x − 3) That is a perfectly good answer, but we can simplify it a little: y − 2 = 3x − 9. y = 3x − 9 + 2. y = 3x − 7. Example 2: m = −3 1 = −3. y − y 1 = m (x − x 1)
Solution. Plot the point \ ( (−3,−1)\), then move \ (3\) units up and \ (5\) units to the right (see Figure \ (\PageIndex {2}\)). To find the equation, substitute \ ( (−3,−1)\) for \ ( (x_0,y_0)\) and \ (3/5\) for m in the point-slope form of the line.