Question

The table gives the coordinates of points on a line. a. Find the slope of the line. b. Fill in the missing entries. x y -5 41 26 2 3 17 7 5

          The table gives the coordinates of points on a line.
a. Find the slope of the line.
b. Fill in the missing entries.
x
y
-5	41
	26
2	
3	17
7	5
        
The table gives the coordinates of points on a line.
a. Find the slope of the line.
b. Fill in the missing entries.
x
y
-5	41
	26
2	
3	17
7	5

Added by Richard J.

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Calculus: Early Transcendentals
Calculus: Early Transcendentals
James Stewart 8th Edition
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The table gives the coordinates of points on a line. a. Find the slope of the line. b. Fill in the missing entries. The table gives the coordinates of points on a line a. Find the slope of the line. b. Fill in the missing entries. x y 41 -5 26 2 3 17 5 7
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Transcript

-
00:02 We're given a pair of points.
00:04 We're asked to plot these points and find the slope of the line passing through them.
00:08 The points are negative 2, 1, and negative 4 or 5.
00:18 To plot these points, we'll draw the cartesian plane.
00:22 We see at the x values range from negative 2 to negative 4, so i'll draw the x -axis to range from 0 down to negative 5.
00:31 And the y values range from 1 to positive 5, so i'll draw the y -axis to range from 0 to positive.
00:39 5.
01:02 Therefore, our first point, negative 2, 1 is located about here.
01:07 Our second point, negative 4 or 5, is located about here.
01:14 Now to find the slope of the line through these two points, we'll use the slope formula.
01:22 This is the change in y values over the change in x values.
01:26 This is negative 5 minus 1 over negative 4 minus negative 2.
01:33 So this is equal to negative 6 over negative 2 or 3.
01:57 I'm sorry, i think i made a mistake here.
02:04 This y coordinate should actually be negative 4, negative 5...
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