(20,-8); 7x - 4y = -5

The question is incomplete.

However, from the given parameters, a likely question could be to:

1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5

or

2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5

See Explanation

Step-by-step explanation:

First, we calculate the slope of

Subtract 7x from both sides

Make y the subject

The general format of an equation is:

Where

By comparison:

Solving (1): Parallel

Here, we assume that the line is parallel to the given equation.

And as such, it means that they have the same slope

So, we have:

and

The equation is then calculated as:

This gives:

Open bracket

Make y the subject

Solving (2): Perpendicular

Here, we assume that the line is perpendicular to the given equation.

And as such, it means that the following relationship exists between their slope:

Where

-- as calculated above

Substitute 7/4 for m1 in

So, we have:

and

The equation is then calculated as:

This gives:

Open bracket

Make y the subject

Take LCM

First Box - Faster

Second Box - Slower

Third Box - 960