MA.912.A.3.9 Determine the slope, x-intercept, and y- intercept of a line given its graph, its equation, or two points on the line.

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Presentation transcript:

MA.912.A.3.9 Determine the slope, x-intercept, and y- intercept of a line given its graph, its equation, or two points on the line.

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 1 Armando is two years younger than Rosa. The relationship between their ages can be represented by the equation A = R − 2 If Armando's age is graphed as a function of Rosa's age, what will be the coordinates of the x- and y-intercepts for the graph of this function? A. x-intercept: (2, 0) y-intercept: (0, -2) C. x-intercept: (Rosa) y-intercept: (Armando) B. x-intercept: (-2, 0) y-intercept: (0, 2) D. x-intercept: (2, 0) y-intercept: (0, 2)

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 1 Answer: A. Armando is two years younger than Rosa. The relationship between their ages can be represented by the equation A = R − 2 If Armando's age is graphed as a function of Rosa's age, what will be the coordinates of the x- and y-intercepts for the graph of this function? A. x-intercept: (2, 0) y-intercept: (0, -2) C. x-intercept: (Rosa) y-intercept: (Armando) B. x-intercept: (-2, 0) y-intercept: (0, 2) D. x-intercept: (2, 0) y-intercept: (0, 2)

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 2 On a coordinate graph, Andrew places a paperclip at the point (2, 4) and a thumbtack at the point (3, 2). If he draws a line that passes through both of these points, which set of coordinates represents the x- and y-intercepts of the line? A. x-intercept: (4, 0) y-intercept: (8, 0) C. x-intercept: (0, 8) y-intercept: (4, 0) B. x-intercept: (8, 0) y-intercept: (0, 4) D. x-intercept: (4, 0) y-intercept: (0, 8)

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 2 Answer: D. On a coordinate graph, Andrew places a paperclip at the point (2, 4) and a thumbtack at the point (3, 2). If he draws a line that passes through both of these points, which set of coordinates represents the x- and y-intercepts of the line? A. x-intercept: (4, 0) y-intercept: (8, 0) C. x-intercept: (0, 8) y-intercept: (4, 0) B. x-intercept: (8, 0) y-intercept: (0, 4) D. x-intercept: (4, 0) y-intercept: (0, 8)

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 3 The graph below shows how the US Census Bureau expects the population of the United States of America to grow over the next few decades. What is the slope of the line? A. C. B. D.

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 3 Answer: C. The graph below shows how the US Census Bureau expects the population of the United States of America to grow over the next few decades. What is the slope of the line? A. C. B. D.

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 4 The diagram below shows the dimensions of a company's warehouse. What is the slope of the ramp, represented by the solid red line?

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 4 Answer: The diagram below shows the dimensions of a company's warehouse. What is the slope of the ramp, represented by the solid red line?

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 5 The equation 4y + 2x = 660 can be used to determine the target heart rate of a person, where x represents the target heart rate and y represents the person's age. When this equation is graphed on a coordinate plane, where does the line intercept the y -axis?

MA.912.A.3.9 - Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line. Question 5 Answer: 165 The equation 4y + 2x = 660 can be used to determine the target heart rate of a person, where x represents the target heart rate and y represents the person's age. When this equation is graphed on a coordinate plane, where does the line intercept the y -axis?