Find the Equation Using Point-Slope Formula m=7 , (6,6)

$m = 7$ , $(6, 6)$

Step 1

Use the slope $7$ and a given point $(6, 6)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (6) = 7 \cdot (x - (6))$

Step 2

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

$y - 6 = 7 \cdot (x - 6)$

Step 3

Solve for $y$ .

Simplify $7 \cdot (x - 6)$ .

Rewrite.

$y - 6 = 0 + 0 + 7 \cdot (x - 6)$

Simplify by adding zeros.

$y - 6 = 7 \cdot (x - 6)$

Apply the distributive property.

$y - 6 = 7 x + 7 \cdot - 6$

Multiply $7$ by $- 6$ .

$y - 6 = 7 x - 42$

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

Add $6$ to both sides of the equation.

$y = 7 x - 42 + 6$

Add $- 42$ and $6$ .

$y = 7 x - 36$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 7 x - 36$

Point-slope form:

$y - 6 = 7 \cdot (x - 6)$

Step 5

Find the Equation Using Point-Slope Formula m=7 , (6,6)

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