Question

Write an equation in slope-intercept form for the line that is parallel to the graph of -8x = 5 - 4y and has y-intercept -0.5​

Answer 1

`y =2x -0.5`

Explanation:

Given

Parallel to:
`-8x = 5 - 4y`

y intercept = -0.5

Required

Determine the equation

First, we calculate the slope of
`-8x = 5 - 4y`

We have:

`4y = 8x + 5`

Divide through by 4

`y = (8x)/(4) + (5)/(4)`

`y = 2x+ 1.25`

Since the line passes through
`-8x = 5 - 4y`, it means they have the same slope (m)

An equation has the form:

`y =mx + b`

Where m = slope and b = y intercept

So, the slope (m) is:

`m = 2`

The equation becomes:

`y = 2x + b`

From the question, the y intercept is given as -0.5.

So, the equation is:

`y =2x -0.5`