Question

Through: (-5, -5), slope=2/5

Answer 1

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

$y = mx + b$

Where:

m: It is the slope

b: It is the cut point with the y axis

The slope is: $m = \frac {2} {5}$

Thus, the equation is of the form:

$y = \frac {2} {5} x + b$

We substitute the given point and find "b":

$-5 = \frac {2} {5} (- 5) + b\\-5 = -2 + b\\-5 + 2 = b\\b = -3$

Finally, the equation is:

$y = \frac {2} {5} x-3$

Answer:

$y = \frac {2} {5} x-3$