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6 Given two points, if ∆x = -1 and ∆y = -7, what is the distance between them? d = (∆x)2 + (∆y)2 = (-1)2 + (-7)2. = 1 + 49 or 5 2 = 50 or 7.071. Find the slope of this line, and the distance 8 between the two points shown. 6.
Practice Equations of Lines: Slope, Distance, and Midpoint Formulas. Answer these problems, then check your answers using the key on the next page. If you missed something, look at the solutions after the answer key, and if you still don’t understand, watch the review video again.
Find the distance between points D and F, and the slope of the line they form. Find the distance between points A and B, and the slope of the line they form.
Distance, Midpoint, and Slope Formulas. Find the distance between each pair of points. 1) (0, -8), (-6, 0) 3) (4, 3), (-3, 6) 5) (-1, -6), (3, 7) 7) y.
1. Use the Distance Formula 2. Use the Midpoint Formula Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3. Find the midpoint of the line segment joining the points P1=(6,-3) and P2=(4,2). Teaching Notes:
To determine the distance from any point to a line; •determine the equation of a line perpendicular to our given line and through our given point •solve the system of equations for the given line and the perpendicular line to find the point of intersection of the two lines •Calculate the distance between the given point and the point of ...
. x. . . 10) . y. . . . x. . . Find the distance between each pair of points uing Pythagorean Theorem. (Sketch a graph and plot the points first). Also, determine the slope between the two points for review. 11) ( , ), ( , ) 12) ( , ), ( , ) 13) ( , ), ( , ) 15) ( , ), ( , )
