Find the Equation Using Point-Slope Formula m=4 , (2,2)

$m = 4$ , $(2, 2)$

Use the slope $4$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (2) = 4 \cdot (x - (2))$

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

$y - 2 = 4 \cdot (x - 2)$

Solve for $y$ .

Simplify $4 \cdot (x - 2)$ .

Rewrite.

$y - 2 = 0 + 0 + 4 \cdot (x - 2)$

Simplify by adding zeros.

$y - 2 = 4 \cdot (x - 2)$

Apply the distributive property.

$y - 2 = 4 x + 4 \cdot - 2$

Multiply $4$ by $- 2$ .

$y - 2 = 4 x - 8$

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

Add $2$ to both sides of the equation.

$y = 4 x - 8 + 2$

Add $- 8$ and $2$ .

$y = 4 x - 6$

List the equation in different forms.

Slope-intercept form:

$y = 4 x - 6$

Point-slope form:

$y - 2 = 4 \cdot (x - 2)$

Find the Equation Using Point-Slope Formula m=4 , (2,2)

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