torianaw257
Answered

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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]

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