Question

How do you write an equation of a line with slope 5/2 and y-intercept 0?

Answer 1

See a solution process below:

Explanation:

We can use the slope-intercept formula to write an equation for this line. 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.

Substituting:

`color(red)(5/2)` for `color(red)(m)`

And

`color(blue)(0)` for `color(blue)(b)`

Gives:

`y = color(red)(5/2)x + color(blue)(0)`

Or

`y = color(red)(5/2)x`

Answer 2

`y=5/2x`

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"`

`"here "m=5/2" and "b=0`

`y=5/2xlarrcolor(red)"is the equation of the line"`