For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
Solution Summary: The author explains how to calculate the equation of Line passing through points using point-slope formula.
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.)
The line passes through the points
(
−
2
,
−
6
)
and
(
1
,
0
)
.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
Exercises 83–86: The table lists data that are exactly linear.
a. Find the slope-intercept form of the line that passes through these
data points.
b. Predict y when x = -2.7 and 6.3. Decide if these calculations
involve interpolation or extrapolation.
-3
-2
-1
1
83.
y
-7.7
-6.2
-4.7
-3.2
-1.7
In Exercises 5–20, find the equation of each of the lines with the given
properties. Sketch the graph of each line.
For Exercises 25–36, determine the slope of the line passing through the given points. (See Example 2)
25. (4, –7) and (2, – 1)
26. (-3, –8) and (4, 6)
27. (17, 9) and (42, –6)
28. (-9, 4) and (-1, –6)
29. (30, –52) and (-22, –39)
30. (- 100, -16) and (84, 30)
31. (2.6, 4.1) аnd (9.5, —3.7)
32. (8.5, 6.2) аnd (-5.1, 7.9)
33.
6) and
35. (3 V6, 2V5) and (V6, V5)
36. (2VIT, –3V3) and (VTI, -5V3)
34.
-3,
and
4,
10
Introductory Algebra for College Students (7th Edition)
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