Analyze the linear function whose slope is −3 and passes through the coordinate pair (−2,9) . Which linear function matches this line?(1 point)

Responses

y=−3x+3
y equals negative 3 x plus 3

y=−2x−3
y equals negative 2 x minus 3

y=3x−3
y equals 3 x minus 3

y=−3x+9
y equals negative 3 x plus 9

1 answer

The correct linear function is y=−3x+3. This is because the linear function has a slope of -3, which matches the given slope. Additionally, the linear function passes through the coordinate pair (-2,9), which means that when x=-2, y=9. Plugging these values into the equation y=−3x+3 gives:

9 = -3(-2) + 3
9 = 6 + 3
9 = 9

Therefore, the linear function y=−3x+3 matches the given line.