The linear equation is y = -4x - 1, the graph is in the image at the end.
How to write the linear equation?
We know that a line in the slope-intercept form is written as:
y = ax + b
Where a is the slope and b is the y-intercept.
Here we know that the slope is -4, and the y-intercept is -1, thus, the linear equation is:
y = -4x - 1
Now to graph the line we need to find two points. To find the points evaluate the equation.
if x = 0
y = -4*0 - 1
y = -1
if x = 2
y = -4*2 - 1
y = -9
So we have the points (0, -1) and (2, -9). Just plot the two points in a coordinate axis, and then draw a line that connects the two points.