Find the Point-Slope Form y=5x

$y = 5 x$

Using slope-intercept form $y = m x + b$ , identify the slope $m$ .

$y = 5 x$

$m = 5$

Pick any $x$ -value, then substitute into the equation and simplify to find a point on the line.

Substitute $1$ for $x$ .

$y = 5 \cdot 1$

Multiply $5$ by $1$ .

$y = 5$

Since $y = 5$ when $x = 1$ , $(1, 5)$ is a point on the line.

$(1, 5)$

Plug in the values of the found point and the value of the slope into the point-slope form $y - y_{1} = m (x - x_{1})$ .

$y - 5 = 5 (x - 1)$