Divide each side by -7. Practice: Find the slope of the line that passes through each pair of points. 1. (4,9), (1 – ,6) 3. (4, 3.5), (-4,3.5) 2. (2,5), (6,2) 4. (1,–2),(-2,-5)

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Please just do questions 1-3 and write neatly, write all steps out and give explanation.
XIII. Rate of Change and Slope
Find Slope
n or m
2A where (x. y.) and (x, y) are the coordinates
Slope of a Line
of any two points on a nonvertical line
Example 1
line that passes through (-3, 5)
and (4, –2).
Find the slope of the
Example 2
Find the value of r so that
the line through (10, r) and (3, 4) has a
slope of -7.
Let (-3, 5) = (x,y) and
(4, –2) = (x2, Y2).
m =
Slope formula
Slope formula
4 -r
m =
2
3 – 10
m = -3.2 = 4, y1 = r, 2 = 3, x, = 10
-2 – 5
4 – (-3) 2 = -2.y, = 5, = 4, x, = -3
4 - r
%3D
Smpiy.
-7
Smplity.
-2(-7) = 7(4 – r) Cross mutiply.
%3D
= -1
14 = 28 - 7r Distributive Property
-14 = -7r
Subtract 28 from each side.
2 =r
Divde each side by -7.
Practice:
Find the slope of the line that passes through each pair of points.
1. (4,9), (1 – ,6)
3. (4,3.5), (-4,3.5)
2. (2,5), (6,2)
4. (1,–2), (-2, -5)
Determine the value of r so the line that passes through ach pair of points has the
given slope.
5. (6,8), (r, —2), т %3D1
6. (10,r), (3,4), т %D-
Transcribed Image Text:XIII. Rate of Change and Slope Find Slope n or m 2A where (x. y.) and (x, y) are the coordinates Slope of a Line of any two points on a nonvertical line Example 1 line that passes through (-3, 5) and (4, –2). Find the slope of the Example 2 Find the value of r so that the line through (10, r) and (3, 4) has a slope of -7. Let (-3, 5) = (x,y) and (4, –2) = (x2, Y2). m = Slope formula Slope formula 4 -r m = 2 3 – 10 m = -3.2 = 4, y1 = r, 2 = 3, x, = 10 -2 – 5 4 – (-3) 2 = -2.y, = 5, = 4, x, = -3 4 - r %3D Smpiy. -7 Smplity. -2(-7) = 7(4 – r) Cross mutiply. %3D = -1 14 = 28 - 7r Distributive Property -14 = -7r Subtract 28 from each side. 2 =r Divde each side by -7. Practice: Find the slope of the line that passes through each pair of points. 1. (4,9), (1 – ,6) 3. (4,3.5), (-4,3.5) 2. (2,5), (6,2) 4. (1,–2), (-2, -5) Determine the value of r so the line that passes through ach pair of points has the given slope. 5. (6,8), (r, —2), т %3D1 6. (10,r), (3,4), т %D-
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