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1) Find an equation for the line that passes through the given points (0,2) and (2,3)

1) Find an equation for the line that passes through the given points (0,2) and (2,3)

Calculus: Early Transcendentals
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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SECTION 1.4: POINT-SLOPE FORM OF EQUATION OF THE LINE Slope Intercept form: y = mx + b where m is the slope and b is the y-intercept Point Slope Form: y-y₁ = m(x-x₁) where m is the slope and the line passes through (x₁.₁) 1) Find an equation for the line that passes through the given points (0,2) and (2,3) 2) Determine the slope and the y-intercept of the equation 7y + 12x - 2 = 0 3) During the early years of the Olympics, the height of the men's winning pole vault increased approximately 8 inches every four years. The following table shows that the height started at 130 inches in 1900, and increased by the equivalent of 2 inches a year between 1900 and 1912 Year 1900 1904 1908 1912 Height (inches) 130 138 146 154 a) Does this table represent a linear function? Explain. If it does, find the slope of the linear function. b) Write the equation of the line in point-slope form to model the height of the men's winning pole vault since 1900, c) Use the answer in part (b) to find the equation of the line in slope-intercept form.
Transcribed Image Text:SECTION 1.4: POINT-SLOPE FORM OF EQUATION OF THE LINE Slope Intercept form: y = mx + b where m is the slope and b is the y-intercept Point Slope Form: y-y₁ = m(x-x₁) where m is the slope and the line passes through (x₁.₁) 1) Find an equation for the line that passes through the given points (0,2) and (2,3) 2) Determine the slope and the y-intercept of the equation 7y + 12x - 2 = 0 3) During the early years of the Olympics, the height of the men's winning pole vault increased approximately 8 inches every four years. The following table shows that the height started at 130 inches in 1900, and increased by the equivalent of 2 inches a year between 1900 and 1912 Year 1900 1904 1908 1912 Height (inches) 130 138 146 154 a) Does this table represent a linear function? Explain. If it does, find the slope of the linear function. b) Write the equation of the line in point-slope form to model the height of the men's winning pole vault since 1900, c) Use the answer in part (b) to find the equation of the line in slope-intercept form.
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