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 downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 1 right parenthesis and left parenthesis 1 comma negative 4 right parenthesis.

Write the equation of the line in slope-intercept form.

(1 point)
Responses

y=−5x−1
y equals negative 5 x minus 1

y=−5x+1
y equals negative 5 x plus 1

−5x−y=−1
negative 5 x minus y equals negative 1

y=5x+1

Answer 1

y=5x+1

Answer 2

are you sure

Answer 3

Apologies for the confusion. I made a mistake in my previous response. Since the line passes through the points (0,1) and (1,-4), we can find the slope of the line using the formula:

m = (y2 - y1) / (x2 - x1) = (-4 - 1) / (1 - 0) = -5/1 = -5.

Next, we can choose one of the given points (0,1) and substitute its coordinates and the slope into the slope-intercept form of a line, which is y = mx + b.

Using (0,1) and a slope of -5, we have:

1 = -5(0) + b.

Simplifying, we find that b = 1.

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

y = -5x + 1.

So the correct answer is y = -5x + 1.