Which of the following equations represents a line with a negative slope and a negative y-intercept? select one: a. 3x + 2y = −9 b. x − y = −3 c. y = 4x − 6 d. y = −5x + 8

A. 3x+2y=-9

Step-by-step explanation:

Of course, a graphing calculator can help you choose the appropriate line. (see attached)

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Selections A and B are in standard form. When the x and y coefficients are the same, the slope of the line is negative, so of those selections, A is a good candidate. Setting x=0 can help you see the sign of the intercept. It will be negative when the constant and the y-coefficient have different signs. Hence A is an appropriate answer selection.

Selections C and D are in slope-intercept form. This form makes it easy to see that line D has negative slope, but a positive y-intercept. C has a positive slope, so it does not meet the selection criteria, either.

Thus A is the appropriate choice.

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step-by-step explanation: