Question

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

Answer 1

`y = -(1)/(4) + (11)/(2)`

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 = -(1)/(4)(-2) + b` multiply
`-(1)/(4)` and 2

`6 = (1)/(2) + b` subtract
`(1)/(2)` from both sides

`b = (11)/(2)`

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

`y = -(1)/(4) + (11)/(2)`