Pré-calcul Exemples

$(- 7, - 1)$ , $m = 2$

Step 1

Use the slope $2$ and a given point $(- 7, - 1)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (- 1) = 2 \cdot (x - (- 7))$

Step 2

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

$y + 1 = 2 \cdot (x + 7)$

Step 3

Solve for $y$ .

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Step 3.1

Simplify $2 \cdot (x + 7)$ .

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Step 3.1.1

Rewrite.

$y + 1 = 0 + 0 + 2 \cdot (x + 7)$

Step 3.1.2

Simplify by adding zeros.

$y + 1 = 2 \cdot (x + 7)$

Step 3.1.3

Apply the distributive property.

$y + 1 = 2 x + 2 \cdot 7$

Step 3.1.4

Multiply $2$ by $7$ .

$y + 1 = 2 x + 14$

Step 3.2

Move all terms not containing $y$ to the right side of the equation.

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Step 3.2.1

Subtract $1$ from both sides of the equation.

$y = 2 x + 14 - 1$

Step 3.2.2

Subtract $1$ from $14$ .

$y = 2 x + 13$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 2 x + 13$

Point-slope form:

$y + 1 = 2 \cdot (x + 7)$

Step 5

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