Question

Enter the equation of the line in slope-intercept form. Enter the answer in fraction form.

Answer 1

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

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

We have the following line:

$y = -x + 5$

The slope is$m_ {1} = - 1$

We find $m_ {2} = \frac {-1} {m_ {1}} = \frac {-1} {- 1} = 1$

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

$y = x + b$

We substitute the point $(x, y) :( 5, -1)$and find "b":

$-1 = 5 + b\\-1-5 = b\\-6 = b$

Finally, the equation is:

$y = x-6$

Answer:

$y = x-6$