Question

Which equation is in slope-intercept form and represents a line with slope 1/4

through the point (0, 0)?

Answer 1

`y=(1)/(4)x+0`

Explanation:

Since, the equation of the line that passes through a point
`(x_1,y_1)` and having the slope m is,

`y-y_1=m(x-x_1)`

Here,
`x_1=0`
`y_1=0` and
`m=(1)/(4)`

So, the equation of the line,

`y-0=(1)/(4)(x-0)`

`y=(1)/(4)x`

Since, the slope intercept form of a line is, y = mx +c,

Hence, the required slope-intercept equation is,

`y=(1)/(4)x+0`

Answer 2