Question

How do you find the slope given 9 - 1/4y = 8x?

Answer 1

See a solution process below:

Explanation:

We can transform this equation into the slope-intercept form to find the slope. The slope-intercept form of a linear equation is: `y = color(red)(m)x + color(blue)(b)`

Where `color(red)(m)` is the slope and `color(blue)(b)` is the y-intercept value.

`9 - 1/4y = 8x`

`-color(red)(9) + 9 - 1/4y = 8x - color(red)(9)`

`0 - 1/4y = 8x - 9`

`-1/4y = 8x - 9`

`color(red)(-4) xx -1/4y = color(red)(-4)(8x - 9)`

`cancel(color(red)(-4)) xx 1/color(red)(cancel(color(black)(-4)))y = (color(red)(-4) xx 8x) - (color(red)(-4) xx 9)`

`y = color(red)(-32)x + color(blue)(36)`

The slope of the line represented by the equation is: `color(red)(-32)`