What is the equation of a line that has a slope of -2/3 and a x-intercept of -3?

For this case we have that, by definition, the equation of a line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cutting point with the y axis

We have, according to the statement data that:

So, the equation is of the form:

We also have that the line intersects the "x" axis at -3, that is, the line passes through the point

We substitute to find "b":

Finally, the equation is of the form: