Do you know your places? Like tenth place?
Answer: P(-7.38,-12.85)
Steps:
Draw the directed line in a chart, including points A and B.
Look for the x coordinate of P:
the distance |B-A| along the x coord is |0-(-16)|=16
we are looking for a proportion of 7/13 of that:
the x coord of P is 16*7/13 to the right of -16, or -16+8.62= -7.38
Look for y coordinate of P:
the distance |B-A| along the y coord is |-17-(-8)|=9
we are looking for a proportion of 7/13 of that:
the y coord of P is 9*7/13 down from -8, or -8-4.85= -12.85
so the point P is P(-7.38,12.85)
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:

We find the slope of the line:

Thus, the equation of the line is of the form:

We substitute one of the points and find b:

Finally, the equation is:

Answer:
