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=−2x−3
y equals negative 2 x minus 3
y=−3x+9
y equals negative 3 x plus 9
y=3x−3
y equals 3 x minus 3
y=−3x+3
To analyze the linear function, we have the slope (-3) and a coordinate pair (-2,9).
We can use the point-slope form of a linear equation to determine the correct linear function:
y - y1 = m(x - x1)
In this case, x1 = -2, y1 = 9, and m = -3.
Substituting these values into the equation:
y - 9 = -3(x - (-2))
Simplifying:
y - 9 = -3(x + 2)
y - 9 = -3x - 6
y = -3x + 3
Therefore, the linear function that matches this line is:
y = -3x + 3