Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What is the slope of a line perpendicular to the line whose equation is 3x + 2y = 14. Fully simplify your answer.

Sagot :

Kari352

Answer:

-3/2

Step-by-step explanation:

3x+2y=14

3x+2y -14 =0

f(x,y)=3x+2y-14

fx =3

fy=2

dy/dx = -3/2

Wallameg000

Answer:

[tex]\displaystyle\frac{2}{3}[/tex]

Step-by-step explanation:

Perpendicular lines are lines that meet at a right angle.

Slope of Perpendicular Lines

All perpendicular lines have the same relationship between the slopes. The slope of a perpendicular line will be the opposite reciprocal of the slope of the original line.

This means to find the slope of the line perpendicular to 3x + 2y = 14, we first need to find its slope. One of the easiest ways to do this is to convert the equation into slope-intercept.

Slope-Intercept Form

Slope-intercept form is given by y=mx+b, where m is the slope and b is the y-intercept. To go from standard form to slope-intercept, just solve for y.

  • 3x + 2y = 14

First, subtract 3x

  • 2y = -3x +14

Then, divide by 2

  • [tex]y=-\frac{3}{2}x+7[/tex]

This means that the slope of the given line is -3/2. Now we can take the opposite reciprocal. By flipping the fraction and changing the sign we get the slope 2/3. Thus, the slope of a line perpendicular to the given equation is 2/3.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.