To find the equation of the line in slope-intercept form, we first need to calculate the slope of the line. The slope is given by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. In this case, the two points are (0, -4) and (1, -1).
So, the slope of the line is:
m = (-1 - (-4)) / (1 - 0)
m = 3 / 1
m = 3
Now that we have the slope, we can use the point-slope form of the equation of a line: y - y1 = m(x - x1). Using the point (1, -1), we get:
y - (-1) = 3(x - 1)
y + 1 = 3x - 3
y = 3x - 4
Therefore, the equation of the line in slope-intercept form is y = 3x - 4.
So, the correct answer is:
y=3x-4
Use the image to answer the 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
3x−y=4
3 x minus y equals 4
y=3x+4
y equals 3 x plus 4
y=−3x−4
y equals negative 3 x minus 4
y=3x−4
y equals 3 x minus 4
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