Respuesta :

To find the equation of the line, we know that a line is represented by the following expression (slope-intercept form):

[tex]\begin{gathered} y=mx+b \\ \text{where, m is the slope and b is the intercept} \end{gathered}[/tex]

We can get this expression, by using the slope-point form:

using the point and the slope given,

[tex]\begin{gathered} y-y_0=m(x-x_0) \\ y-0=\frac{1}{10}(x-0) \\ y=\frac{1}{10}x-0+0 \\ y=\frac{1}{10}x \end{gathered}[/tex]

the equation in slope-intercept form is y=1/10x