Examples

$(- 1, 0)$ , $m = 2$

Step 1

Use the slope $2$ and a given point $(- 1, 0)$ to substitute for $x_{1}$ and $y_{1}$ in the point-slope form $y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (0) = 2 \cdot (x - (- 1))$

Step 2

Simplify the equation and keep it in point-slope form.

$y + 0 = 2 \cdot (x + 1)$

Step 3

Solve for $y$ .

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Step 3.1

Add $y$ and $0$ .

$y = 2 \cdot (x + 1)$

Step 3.2

Simplify $2 \cdot (x + 1)$ .

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Step 3.2.1

Apply the distributive property.

$y = 2 x + 2 \cdot 1$

Step 3.2.2

Multiply $2$ by $1$ .

$y = 2 x + 2$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 2 x + 2$

Point-slope form:

$y + 0 = 2 \cdot (x + 1)$

Step 5

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