Pre-Algebra Examples

$(2, 5)$ ,

$m = 3$

Step 1

Use the slope

$3$ and a given point

$(2, 5)$ 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

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

$y - (5) = 3 \cdot (x - (2))$

Step 2

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

$y - 5 = 3 \cdot (x - 2)$

Step 3

Solve for

$y$ .

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Step 3.1

Simplify

$3 \cdot (x - 2)$ .

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Step 3.1.1

Rewrite.

$y - 5 = 0 + 0 + 3 \cdot (x - 2)$

Step 3.1.2

Simplify by adding zeros.

$y - 5 = 3 \cdot (x - 2)$

Step 3.1.3

Apply the distributive property.

$y - 5 = 3 x + 3 \cdot - 2$

Step 3.1.4

Multiply

$3$ by

$- 2$ .

$y - 5 = 3 x - 6$

Step 3.2

Move all terms not containing

$y$ to the right side of the equation.

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Step 3.2.1

Add

$5$ to both sides of the equation.

$y = 3 x - 6 + 5$

Step 3.2.2

Add

$- 6$ and

$5$ .

$y = 3 x - 1$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 3 x - 1$

Point-slope form:

$y - 5 = 3 \cdot (x - 2)$

Step 5

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