Answers Algebra I Standard Form of a Line — QuizQuestion 1

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Standard Form of a Line — Quiz

Question 1 • Algebra I

The line represented by the equation 3 x plus 5 y is equal to 2 has a slope of negative 3 fifths Which shows the graph of this equation?

Answer

A

Image with description A coordinate plane with a line passing through (0, negative 2) and (1, 0).

B

Image with description A coordinate plane with a line passing through (0, 1) and (3, negative 4).

C

Image with description A coordinate plane with a line passing through (negative 1, 1) and (4, negative 2).

D

Image with description A coordinate plane with a line passing through (negative 5, negative 4), (0, negative 1), and (3, 1).

Explanation

A point on the line must make 3x + 5y equal 2. For choice C, the points (−1, 1) and (4, −2) both satisfy the equation: 3(−1) + 5(1) = 2, and 3(4) + 5(−2) = 2. Therefore, choice C shows the graph of the equation.

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