Find the Equation Using Point-Slope Formula (-2,1) ; m=3

$(- 2, 1)$ ; $m = 3$

Step 1

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

$y - (1) = 3 \cdot (x - (- 2))$

Step 2

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

$y - 1 = 3 \cdot (x + 2)$

Step 3

Solve for $y$ .

Simplify $3 \cdot (x + 2)$ .

Rewrite.

$y - 1 = 0 + 0 + 3 \cdot (x + 2)$

Simplify by adding zeros.

$y - 1 = 3 \cdot (x + 2)$

Apply the distributive property.

$y - 1 = 3 x + 3 \cdot 2$

Multiply $3$ by $2$ .

$y - 1 = 3 x + 6$

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

Add $1$ to both sides of the equation.

$y = 3 x + 6 + 1$

Add $6$ and $1$ .

$y = 3 x + 7$

Step 4

List the equation in different forms.

Slope-intercept form:

$y = 3 x + 7$

Point-slope form:

$y - 1 = 3 \cdot (x + 2)$

Step 5

Find the Equation Using Point-Slope Formula (-2,1) ; m=3

Related Questions

Support LCMGCF.com by disabling your adblocker.