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11. A line has the equation y = 4 - 4.2x. a. Find the y-coordinate of the point on this line whose x-coordinate is 2. b. Use the point you found in 11a to write an equation in point-slope form. c. Find the x-coordinate of the point whose y-coordinate is 6.1.

11. A line has the equation y = 4 - 4.2x. a. Find the y-coordinate of the point on this line whose x-coordinate is 2. b. Use the point you found in 11a to write an equation in point-slope form. c. Find the x-coordinate of the point whose y-coordinate is 6.1.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Transcription and Explanation for Educational Website** --- ### Problem 11 A line is described by the equation \( y = 4 - 4.2x \). #### Tasks: a. Find the \( y \)-coordinate of the point on this line whose \( x \)-coordinate is 2. b. Use the point you found in 11a to write an equation in point-slope form. c. Find the \( x \)-coordinate of the point whose \( y \)-coordinate is 6.1. d. Use the point you found in 11c to write a different point-slope equation. e. Show that the point-slope equations you wrote in 11b and d are equivalent to the original equation in intercept form. Explain your procedure. f. Is the point (4, -12) on the line? What about the point (-3, 16.6)? Explain how you can determine whether a given point is on a line. --- This problem requires students to engage with the equation of a line in various forms and verify points on the line. Through these exercises, understanding of slope-intercept and point-slope forms is reinforced, alongside the process of verifying points on a line.
Transcribed Image Text:**Transcription and Explanation for Educational Website** --- ### Problem 11 A line is described by the equation \( y = 4 - 4.2x \). #### Tasks: a. Find the \( y \)-coordinate of the point on this line whose \( x \)-coordinate is 2. b. Use the point you found in 11a to write an equation in point-slope form. c. Find the \( x \)-coordinate of the point whose \( y \)-coordinate is 6.1. d. Use the point you found in 11c to write a different point-slope equation. e. Show that the point-slope equations you wrote in 11b and d are equivalent to the original equation in intercept form. Explain your procedure. f. Is the point (4, -12) on the line? What about the point (-3, 16.6)? Explain how you can determine whether a given point is on a line. --- This problem requires students to engage with the equation of a line in various forms and verify points on the line. Through these exercises, understanding of slope-intercept and point-slope forms is reinforced, alongside the process of verifying points on a line.
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