Find the Point-Slope Form y=2x+1

$y = 2 x + 1$

Step 1

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

$y = 2 x + 1$

$m = 2$

Step 2

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

Substitute $1$ for $x$ .

$y = 2 \cdot 1 + 1$

Multiply $2$ by $1$ .

$y = 2 + 1$

Add $2$ and $1$ .

$y = 3$

Since $y = 3$ when $x = 1$ , $(1, 3)$ is a point on the line.

$(1, 3)$

Step 3

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

$y - 3 = 2 (x - 1)$

Step 4