Answer:

Explanation:
Given equation of line:

To find the equation of line perpendicular to the line of the given equation and passes through point (4,-7).
Writing the given equation of line in standard form.
Subtracting both sides by


Dividing both sides by 5.
Rearranging the equation in standard form

Applying slope relationship between perpendicular lines.

where
and
are slopes of perpendicular lines.
For the given equation in the form
the slope
can be found by comparing
with standard form.
∴

Thus slope of line perpendicular to this line
would be given as:

∴

The line passes through point (4,-7)
Using point slope form:

Where
and

So,

Using distribution.


Subtracting 7 to both sides.

Taking LCD to subtract fractions




Thus, the equation of line in standard form is given by:
