Algebra Examples

m = 0

$m = 0$ ,

(2, 2)

$(2, 2)$

Step 1

Use the slope

0

$0$ and a given point

(2, 2)

$(2, 2)$ to substitute for

x_{1}

$x_{1}$ and

y_{1}

$y_{1}$ in the point-slope form

y - y_{1} = m (x - x_{1})

$y - y_{1} = m (x - x_{1})$ , which is derived from the slope equation

m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

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

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

Step 2

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

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

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

Step 3

Solve for

y

$y$ .

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Step 3.1

Multiply

0

$0$ by

x - 2

$x - 2$ .

y - 2 = 0

$y - 2 = 0$

Step 3.2

Add

2

$2$ to both sides of the equation.

y = 2

$y = 2$

y = 2

$y = 2$

Step 4

List the equation in different forms.

Slope-intercept form:

y = 2

$y = 2$

Point-slope form:

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

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

Step 5

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