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 3 x plus 4

3x−y=4
3 x minus y equals 4

y=−3x−4
y equals negative 3 x minus 4

y=3x−4

Answer 1

y = 3x - 4

Answer 2

are u sure

Answer 3

Apologies for the confusion in my previous response. Looking at the given information, the line passes through the points (0, -4) and (1, -1). To find the slope of the line, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the two points into the formula:

m = (-1 - (-4)) / (1 - 0)
m = 3/1
m = 3

Now that we have the slope (m = 3), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Substituting the coordinates of one of the points (0, -4):

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

Therefore, the equation of the line in slope-intercept form is:

y = 3x - 4