Answer:
To graph the line using slope and y-intercept, we can follow these steps:
Identify the slope and y-intercept:
The slope of the line is -1/3.
The y-intercept is -7.
Plot the y-intercept:
Plot the point (0, -7) on the coordinate plane, since this is the point where the line intersects the y-axis.
Plot additional points using the slope:
Choose a convenient value for x (such as x = 1) and use the equation of the line to find the corresponding value of y.
Plot this point on the coordinate plane.
Repeat the process for several more values of x to obtain additional points on the line.
Connect the dots:
Draw a line through the points that you have plotted, connecting them to form the graph of the line.
Note: The line y = -1/3x - 7 will have a negative slope and will decrease as x increases, which means that the line will slope downward from left to right.