SOLUTION: This is a summer Assignment. I don't have a book. "Write the equation of the line perpendicular to the line y=1/2x + 2 that passes through the point (-4,5)."

Question 150985: This is a summer Assignment. I don't have a book.
"Write the equation of the line perpendicular to the line y=1/2x + 2 that passes through the point (-4,5)."
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

We can see that the equation has a slope and a y-intercept .

Now to find the slope of the perpendicular line, simply flip the slope to get . Now change the sign to get . So the perpendicular slope is .

Now let's use the point slope formula to find the equation of the perpendicular line by plugging in the slope and the coordinates of the given point

.

Start with the point slope formula

Plug in , , and

Rewrite as

Distribute

Multiply

Add 5 to both sides.

Combine like terms.

So the equation of the line perpendicular to that goes through the point

is .

Here's a graph to visually verify our answer:
Graph of the original equation (red) and the perpendicular line (green) through the point

.

RELATED QUESTIONS
This is a summer assignment. I don't have a book. Solve the equation {{{ x^2 - 5x + (answered by jim_thompson5910)

I'm having problems with writing an equation of a line that is perpendicular because our... (answered by Alan3354)

I don't have a book. This is a summer assignment. Simplify the radicals. square root... (answered by stanbon)

I don't have a book. This is a summer assignment. Solve the following eqation {{{ x^2... (answered by jim_thompson5910)

ok well we are doing this in geometry but its a review from algebra P(2,5); 4x-y=8 We... (answered by jim_thompson5910)

what is an equation of a line perpendicular to the line... (answered by rapaljer)

I have two right triangles that are connected at point x. On the right, there is triangle (answered by CPhill)

I need help.Urgent help.Please explain to me how to do this problem listed below.... (answered by longjonsilver)

line p passes through point A(1,2)and is perpendicular to the line 3y=2x+3. Determine the (answered by josgarithmetic)