Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

Which equation represents a line which is perpendicular to the line y=2/5x-81. y=2/5x-32. y=5/2x-13. y=-2/5x+64. y=-5/2x+9

Sagot :

The slope-intercept form of the line is given by:

[tex]\begin{gathered} y=mx+b \\ m=slope \\ b=y-intercept \end{gathered}[/tex]

for the line:

[tex]y=\frac{2}{5}x-8[/tex][tex]m=\frac{2}{5}[/tex]

If two lines are perpendicular, then:

[tex]\begin{gathered} m1\times m2=-1 \\ so\colon \\ \frac{2}{5}\times m2=-1 \\ m2=-\frac{1}{\frac{2}{5}} \\ m2=-\frac{5}{2} \end{gathered}[/tex]

Therefore, the equation that represents the line perpendicular to the line y = 2/5x - 8 is:

[tex]y=-\frac{5}{2}x+9[/tex]

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.