Question

How do you find the slope and intercept of `-5+y=1/4x`?

Answer 1

See a solution process below:

Explanation:

First, put this equation in the slope-intercept form. 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.

`-5 + y = 1/4x`

`-5 + color(blue)(5) + y = 1/4x + color(blue)(5)`

`0 + y = 1/4x + color(blue)(5)`

`y = color(red)(1/4)x + color(blue)(5)`

Therefore,

• The slope is: `color(red)(m = 1/4)`
• The `y`-intercept is: `color(blue)(b = 5)` or `(0, color(blue)(5))`

Answer 2

`"slope "=1/4," y-intercept "=5`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

`"rearrange "-5+y=1/4x" into this form"`

`"add 5 to both sides"`

`y=1/4x+5larrcolor(blue)"in slope-intercept form"`

`"with slope "=1/4" and y-intercept "=5`