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Name
Prode Hill
Date
Algebra I
Chapter 5 Quiz
Directions: Read each question carefully. Show all work to receive full credit.

Find the slope of the line that passes through the points, or the given line. 
(2 points eac
a.
b. 
(2,-3) and 
(5,-4)

Name\newlineProde Hill\newlineDate\newlineAlgebra I\newlineChapter 55 Quiz\newlineDirections: Read each question carefully. Show all work to receive full credit.\newline11. Find the slope of the line that passes through the points, or the given line. (2 (2 points eac\newlinea.\newlineb. (2,3) (2,-3) and (5,4) (5,-4)

Full solution

Q. Name\newlineProde Hill\newlineDate\newlineAlgebra I\newlineChapter 55 Quiz\newlineDirections: Read each question carefully. Show all work to receive full credit.\newline11. Find the slope of the line that passes through the points, or the given line. (2 (2 points eac\newlinea.\newlineb. (2,3) (2,-3) and (5,4) (5,-4)
  1. Identify Coordinates: Identify the coordinates of the two points.\newlineThe first point is (2,3)(2, -3), where 22 is the xx-coordinate and 3-3 is the yy-coordinate.\newlineThe second point is (5,4)(5, -4), where 55 is the xx-coordinate and 4-4 is the yy-coordinate.
  2. Use Slope Formula: Use the slope formula to find the slope of the line passing through the two points.\newlineThe slope formula is (y2y1)/(x2x1)(y_2 - y_1) / (x_2 - x_1), where (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) are the coordinates of the two points.
  3. Plug in Coordinates: Plug in the coordinates into the slope formula.\newlineUsing the points (2,3)(2, -3) and (5,4)(5, -4), we get:\newlineSlope (m)=4(3)52(m) = \frac{-4 - (-3)}{5 - 2}
  4. Simplify Expression: Simplify the expression to find the slope.\newlineSlope mm = (4+3)/(52)(-4 + 3) / (5 - 2)\newlineSlope mm = (1)/(3)(-1) / (3)\newlineSlope mm = 1/3-1/3

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