How to use this equation in slope intercept form?

Algebra
Tutor: None Selected Time limit: 1 Day

Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y=8x-6.

Nov 23rd, 2015

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

We write the equation 2y=8x-6 in the form y=mx+c as shown below:

  Y=4x-3

m1=4

Lines are perpendicular if when we multiply their slopes, we get −1

m1 * m2 =-1

The gradient for line one is 4

Therefore, m2=-1/4

To get the equation, we use the point (-3,3)

Gradient=change in y/change in x

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

4(y-3)=-1(x+3)

4y-12=-1x-3

4y=-x+9

Y=-x/4 +9/4


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 23rd, 2015

Thank You,for your help Doctor Ralph.

Nov 23rd, 2015

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