Find the Equation Using Point-Slope Formula (7,0) , m=4

$(7, 0)$ , $m = 4$

Step 1

Use the slope $4$ and a given point $(7, 0)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

$y - (0) = 4 \cdot (x - (7))$

Step 2

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

$y + 0 = 4 \cdot (x - 7)$

Step 3

Solve for $y$ .

Add $y$ and $0$ .

$y = 4 \cdot (x - 7)$

Simplify $4 \cdot (x - 7)$ .

Apply the distributive property.

$y = 4 x + 4 \cdot - 7$

Multiply $4$ by $- 7$ .

$y = 4 x - 28$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 4 x - 28$

Point-slope form:

$y + 0 = 4 \cdot (x - 7)$

Step 5

Find the Equation Using Point-Slope Formula (7,0) , m=4

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