Find the Equation Using Point-Slope Formula (0,3) , slope=-2

$(0, 3)$ , $s l o p e = - 2$

Use the slope $- 2$ and a given point $(0, 3)$ 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 $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ .

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

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

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

Solve for $y$ .

Add $x$ and $0$ .

$y - 3 = - 2 x$

Add $3$ to both sides of the equation.

$y = - 2 x + 3$

List the equation in different forms.

Slope-intercept form:

$y = - 2 x + 3$

Point-slope form:

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

Find the Equation Using Point-Slope Formula (0,3) , slope=-2

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