The equation of a line in the slope intercept form is expressed as
y = mx + c
where
m = slope
c = y intercept
Considering the given line,
m = - 3 and c = - 1
By substituting these values into the slope intercept equation, the equation of the line is
y = - 3x - 1
We would substitute values of x into the equation and solve for corresponding values of y. It is shown below
For x = - 2, y = - 3 * - 2 - 1 = 6 - 1 = 5
For x = - 1, y = - 3 * - 1 - 1 = 3 - 1 = 2
For x = 0, y = - 3 * 0 - 1 = 0 - 1 = - 1
For x = 1, y = - 3 * 1 - 1 = - 3 - 1 = - 4
For x = 2, y = - 3 * 2 - 1 = - 6 - 1 = - 7
We would plot the corresponding x and y values on the horizontal and vertical axes of the graph respectively. The graph is shown below
