Question

What is the equation for the line slope 0, y- intercept 1/5?

Answer 1

Check the picture below.

if we say, pick a value for the x-coordinate, any value say value "a", and use the 1/5 as the y-coordinate, then,

$\bf \begin{array}{lllll} &x_1&y_1\\ % (a,b) &({{ a}}\quad ,&{{ \frac{1}{5}}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies 0 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\cfrac{1}{5}=0(x-a)\implies y-\cfrac{1}{5}=0 \\\\\\ y=\cfrac{1}{5}$