torianaw257
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Write the equation for the line whose slope is -1/4 and goes through the point (-2,6)​

Sagot :

ameliaswan

Answer:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

[tex]6 = -\frac{1}{4}(-2) + b[/tex]               multiply [tex]-\frac{1}{4}[/tex] and 2

[tex]6 = \frac{1}{2} + b[/tex]                         subtract [tex]\frac{1}{2}[/tex] from both sides

[tex]b = \frac{11}{2}[/tex]

now we plug m and b into the equation and leave x and y as variables to get the final equation:

[tex]y = -\frac{1}{4} + \frac{11}{2}[/tex]

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.