Question

What is the equation of the line with slope = `-5/3` and the y-intercept = 5?

Answer 1

The equation of the line is `y=-5/3x+5`

Explanation:

Based on the given information, slope-intercept form is the easiest way to write the line:
`y=m*x+b`
`\rightarrow m` is the slope
`\rightarrow b` is the `y`-coordinate of the `y`-intercept

So the equation of the line is `y=-5/3x+5`.

Answer 2

`y=-5/3x+5`

Explanation:

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

`color(red)(bar(ul(|color(white)(2/2)color(black)(y=mx+b)color(white)(2/2)|)))`

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

`"here "m=-5/3" and "b=5`

`rArry=-5/3x+5larrcolor(red)"in slope-intercept form"`