Questions: Which linear equation would produce a y-intercept of (0,9) and a slope of -3 ? a.) y=3x-9 b.) y=-3x+9 c.) y=-9x+3 d.) y=9x-3

Which linear equation would produce a y-intercept of (0,9) and a slope of -3 ? a.) y=3x-9 b.) y=-3x+9 c.) y=-9x+3 d.) y=9x-3
Transcript text: Which linear equation would produce a $y$-intercept of $(0,9)$ and a slope of -3 ? a.) $y=3 x-9$ b.) $y=-3 x+9$ c.) $y=-9 x+3$ d.) $y=9 x-3$
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Solution

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Solution Steps

Step 1: Identify the given slope (m) and y-intercept (b)

The given slope (m) is -3 and the y-intercept (b) is 9.

Step 2: Substitute the values of m and b into the general form of the linear equation, \(y = mx + b\).

By substituting the given values into the general form, we get the equation: y = -3x + 9

Final Answer:

The linear equation that satisfies the given conditions is: y = -3x + 9

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