Katelynrocksoneidn
Answered

Get the most out of your questions with IDNLearn.com's extensive resources. Get prompt and accurate answers to your questions from our experts who are always ready to help.

LOOK AT IMAGE WORTH 20 points!!!
Write the equation of the line perpendicular to y= 2x+4 that passes through the point ( - 4,9).

LOOK AT IMAGE WORTH 20 Points Write The Equation Of The Line Perpendicular To Y 2x4 That Passes Through The Point 49 class=

Sagot :

Answer:

[tex]y=-\frac{2}{3}x+\frac{19}{3}[/tex]

Step-by-step explanation:

Lines that are perpendicular to each other have opposite reciprocal slopes. So, in this case, the slope that is perpendicular to 3/2 would be -2/3. In order for the line with that slope to pass (-4,9), we would need to plug in the coordinate point and solve for the y-intercept:

[tex]y=mx+b[/tex]

[tex]y=-\frac{2}{3}x+b[/tex]

[tex]9=-\frac{2}{3}(-4)+b[/tex]

[tex]9=\frac{8}{3}+b[/tex]

[tex]\frac{19}{3}=b[/tex]

Therefore, the equation in slope-intercept form would be [tex]y=-\frac{2}{3}x+\frac{19}{3}[/tex]

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.