Write the slope-intercept form of the equation of the line described by (−4, −5), parallel to y = −2x − 5.

Step-by-step explanation:

Equation of a line:

The equation of a line, in slope-intercept formula, is given by:

In which m is the slope and b is the y-intercept(value of x when y = 0).

Parallel lines:

If two lines are parallel, they have the same slope.

y = −2x − 5.

This line has slope , which is the same as the line we want to find, as they are parallel. So

(−4, −5)

This means that when . We use this to find b. So

So

so, converting firstly the mixed fractions to improper fractions and then "adding".