To find the equation of the line in slope-intercept form, we need to determine the slope of the line and the y-intercept.
First, we calculate the slope:
Slope (m) = (change in y) / (change in x)
Slope (m) = (-1 -(-4)) / (1-0)
Slope (m) = 3 / 1
Slope (m) = 3
Next, we can use the slope and one of the points to find the y-intercept:
y = mx + b
-1 = 3(1) + b
-1 = 3 + b
b = -4
Therefore, the equation of the line in slope-intercept form 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)
1 answer