Question

Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form.

The line is perpendicular to the line defined by y = 4x-8 and passes through the point(8,3).

Answer 1

`y=-(1)/(4)x+5`

Explanation:

Given the point (8,3) and slope of 4, we can write an equation in point-slope form.

We know that any line perpendicular to another line has a opposite reciprocal. The opposite reciprocal of 4 is
`-(1)/(4)`.

Now, to write this in point slope form.

Point slope formula:

`y-y_1=m(x-x_1)`

New equation:

`y-3=-(1)/(4)(x-8)`

Simplify:

`y=-(1)/(4)x+5`

Here is the equation :)