Question

which is an equation for the line that passes through the origin and has a slope of
`(3)/(5)`

Answer 1

We have the next information

slope = 3/5

passes in the origin in (0,0)

The equation of the line in slope - intercept form is

`y=mx+b`

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

The y-intercept is the value of the coordinate y, when the coordinate x is 0 in, this case because the line passes through the origin the y-intercept is 0

The equation of the line is

`\begin{gathered} y=(3)/(5)x+0 \\ y=(3)/(5)x \end{gathered}`