Use the image to answer the question.

Question

An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 4 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.

Using the graph, derive the equation of the line in slope-intercept form.

(1 point)
Responses

y=−3x−4
y equals negative 3 x minus 4

y=3x−4
y equals 3 x minus 4

y=3x+4
y equals 3 x plus 4

3x−y=4
3 x minus y equals 4

Answer 1

The slope of the line can be found by using the two given points on the line:

slope = (change in y) / (change in x) = (-1 - (-4)) / (1 - 0) = 3/1 = 3

Using the point-slope form (y - y1) = m(x - x1) with one of the given points, we can write:

(y - (-4)) = 3(x - 0)

Simplifying and solving for y, we get:

y = 3x - 4

Therefore, the correct answer is y=3x−4, or "y equals 3 x minus 4".

Answer 2

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