Since the line passes through the points (0, -3) and (3, -1), we can use these points to determine the equation of the line.
First, let's calculate the slope of the line using the two points:
m = (-1 - (-3))/(3 - 0) = 2/3
Now we have the slope and one point, which we can use in the point-slope form of the equation of a line:
y - y1 = m(x - x1)
y - (-3) = 2/3(x - 0)
y + 3 = 2/3x
Now we can rearrange to get the equation in slope-intercept form (y = mx + b):
y = 2/3x - 3
Therefore, the equation that represents the graph is y = 2/3x - 3.
So, the equation y equals two thirds times x minus 3 represents the graph.
Which equation represents the graph?
a graph of a line that passes through the points 0 comma negative 3 and 3 comma negative 1
y equals negative three halves times x plus 5
y equals negative two thirds times x plus 3
y equals two thirds times x minus 3
y equals three halves times x minus 5
1 answer