Question

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 3 x minus 3

y=−3x+9
y equals negative 3 x plus 9

y=−2x−3
y equals negative 2 x minus 3

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the linear function that matches the given line, we can use the point-slope formula.

The point-slope formula is:
y - y1 = m(x - x1)

where (x1, y1) is a point on the line and m is the slope.

Plugging in the given information, we have:
y - 9 = -3(x - (-2))

Simplifying this equation:
y - 9 = -3(x + 2)

Expanding:
y - 9 = -3x - 6

Now, to isolate y, we can add 9 to both sides:
y = -3x - 6 + 9

Simplifying further:
y = -3x + 3

Therefore, the linear function that matches the given line is y = -3x + 3.