Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover in-depth answers to your questions from a wide network of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Write an equation in slope intercept form for a line perpendicular to the line
y=-3x + 2 through (4,0)

Sagot :

kevinclq0811

Answer:

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

Step-by-step explanation:

If two lines are perpendicular to each other, then the slopes will be the negative inverse to each other.

Example:

the negative inverse of 2 is -1/2

the slope of  [tex]y=-3x+2[/tex]  is -3

the negative inverse of -3 is [tex]\dfrac{1}{3}[/tex]

So we have the perpendicular line be :[tex]y=\dfrac{1}{3}x+b[/tex]

Since it also go through (4,0)

plug in we get [tex]0 = \dfrac{4}{3}+b[/tex]

[tex]b=-\frac{4}{3}[/tex]

So the equation would be

[tex]y=\frac{1}{3}x - \frac{4}{3}[/tex]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.