Algebra Examples

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

Step 1

Use the slope $0$ and a given point $(2, 2)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

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

Step 2

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

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

Step 3

Solve for $y$ .

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Step 3.1

Multiply $0$ by $x - 2$ .

$y - 2 = 0$

Step 3.2

Add $2$ to both sides of the equation.

$y = 2$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 2$

Point-slope form:

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

Step 5

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