Question

Write an equation of a line in slope intercept form that is parallel to the line x + 4y = 6 and passes through (-8, 5). Please describe step by step! thanks!

Answer 1

Ok. So first, you need to put that original line into something we can use.
Isolate the y variable.
x+4y=6
4y=6-x
y=6/4 - x/4
We can rewrite this as:
y=-.25 x+ 3/2
Now it's in slope intercept form! So the slope is -.25, and since it's parallel, the slope of the line you're trying to find must be the same.

We now have enough info to find the slope-intercept form of your line.

y-y1 = m(x - x1)
y=m(x - x1) + y1
y = -.25 ( x - (-8)) + 5
y = -.25x - 2 + 5
y = -.25x +3

And that's it! You can check it using this online calculator, if you'd like.
https://www.desmos.com/calculator

Answer 2

This should be in Mathematics By the way ..please stay on topic :)