29. Determine the equation of a line passing through the point (5, -3) with an undefined slope. 30. Determine the equation of a line passing through the point (-4, 2) with a slope of 0. 31. Use point-slope form to find the equation of the line passing through the point (0, 5) with a slope of 2/3.
29. Determine the equation of a line passing through the point (5, -3) with an undefined slope. 30. Determine the equation of a line passing through the point (-4, 2) with a slope of 0. 31. Use point-slope form to find the equation of the line passing through the point (0, 5) with a slope of 2/3.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:EQUATION OF A LINE
Slope intercept form: y=mx+b
Point-slope form: y-y₁ = m(x-x₁)
* LEARN! We will use this formula frequently!
Example: Write a linear equation that has a slope of ½ and passes through the point (2, -6)
Slope intercept form
Point-slope form
y==x+b
2
y+6=(x-2)
-6=(2)+b
y=-x-7
b=-7
y=-x-7
Plug in ½ for m
Plug in the given ordered
Solve for b
Vertical line: x=c (slope is undefined)
Horizontal line: y = c (slope is 0)
29. Determine the equation of a line passing through the point (5, -3) with an undefined slope.
30. Determine the equation of a line passing through the point (-4, 2) with a slope of 0.
Plug in all variables
Solve for y
31. Use point-slope form to find the equation of the line passing through the point (0, 5) with a slope of 2/3.
32. Use point-slope form to find a line passing through the point (2, 8) and parallel to the line y=-x-
=x-1..
33. Use point-slope form to find a line perpendicular to y=-2x+9 passing through the point (4,7).
34. Find the equation of a line passing through the points (-3, 6) and (1, 2).
35. Find the equation of a line with an x-intercept (2, 0) and a y-intercept (0, 3)
9
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