Question

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

Answer 1

Answer:

$y = -\frac{1}{4} + \frac{11}{2}$

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

$6 = -\frac{1}{4}(-2) + b$               multiply $-\frac{1}{4}$ and 2

$6 = \frac{1}{2} + b$                         subtract $\frac{1}{2}$ from both sides

$b = \frac{11}{2}$

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

$y = -\frac{1}{4} + \frac{11}{2}$