Slope Intercept Equation -6, 9

Tutor: None Selected Time limit: 1 Day

Write the slope intercept equation of the function f whose graph satisfies the given conditions.

The graph of f passes through (-6, 9) and is perpendicular to the line that has an x-intercept of 1 and a y-intercept of -2

Jun 7th, 2015

Thank you for the opportunity to help you with your question!

Equation of line in slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept.

The line which is perpendicular to f has y-intercept of -2.

Therefore, b = -2

So, equation of the perpendicular line is

y = mx - 2

Also its x-intercept is 1. So, substitute x = 1 and y = 0 in the equation.

0 = m*1 - 2

0 = m - 2

m = 2

So equation of the perpendicular line becomes 

y = 2x - 2

Since f is perpendicular to the above line,

slope of f = -1/m = -1/2

Also f passes through (-6, 9).

Now we can use the point slope form of line to find equation of f.

m is the slope of the line(slope of  f)

and  is a point on the line.

Here, m = -1/2 and  = (-6, 9) .

So, equation of line f is

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 7th, 2015

Jun 7th, 2015
Jun 7th, 2015
Oct 28th, 2016
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer