Which choice is the equation of a line that passes through (9, - 3) and is parallel to the line represented by this equation? y=5/3x-4

Question

Mathematics

Thomas Bird

7 May, 08:02

Which choice is the equation of a line that passes through (9, - 3) and is parallel to the line represented by this equation? y=5/3x-4

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Answers (1)

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Daffodil · Answer 1

Parallel lines have the same gradient.

The equations are either in the form y = mx+b (m is the gradient)

or in general form ax + by + c = 0 (-a/b)

The gradient of y = 2x - 4 is 2.

Taskmasters Ace Parallel objects are objects that never meet. For the case of lines, however how long you extend the lines they will never intersect. This happens when they have the same slopes. Therefore, the correct answer among the choices listed is option A. This is because it has the same slope with the given equation which is 2. The answer is B (gradient = - 4/-2 = 2)