Throughout this question, you should use algebra to work out your answers, showing your working clearly. You may use a graph to check that your answers are correct, but it is not sufficient to read your results from a graph. (a) A straight line passes through the points (3, −5/2) and (−3, 11/2) . (i) Calculate the gradient of the line. (ii) Find the equation of the line. (iii) Find the x-intercept of the line. (b) Does the line y = −4/3 x + 3 intersect with the line that you found in part (a)? Explain your answer. (c) Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y = 32, − 2x + y = −6
Throughout this question, you should use algebra to work out your answers, showing your working clearly. You may use a graph to check that your answers are correct, but it is not sufficient to read your results from a graph. (a) A straight line passes through the points (3, −5/2) and (−3, 11/2) . (i) Calculate the gradient of the line. (ii) Find the equation of the line. (iii) Find the x-intercept of the line. (b) Does the line y = −4/3 x + 3 intersect with the line that you found in part (a)? Explain your answer. (c) Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y = 32, − 2x + y = −6
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Throughout this question, you should use algebra to work out your answers, showing your working clearly. You may use a graph to check that your answers are correct, but it is not sufficient to read your results from a graph.
(a) A straight line passes through the points
(3, −5/2) and (−3, 11/2)
.
(i) Calculate the gradient of the line.
(ii) Find the equation of the line.
(iii) Find the x-intercept of the line.
(b) Does the line y = −4/3 x + 3 intersect with the line that you found in part (a)? Explain your answer.
(c) Find the coordinates of the point where the lines with the following equations intersect: 4x + 8y = 32,
− 2x + y = −6
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