Find the Equation Using Point-Slope Formula through: (1,2) , slope=7

through: $(1, 2)$ , $s l o p e = 7$

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

$y - (2) = 7 \cdot (x - (1))$

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

$y - 2 = 7 \cdot (x - 1)$

Solve for $y$ .

Simplify $7 \cdot (x - 1)$ .

Rewrite.

$y - 2 = 0 + 0 + 7 \cdot (x - 1)$

Simplify by adding zeros.

$y - 2 = 7 \cdot (x - 1)$

Apply the distributive property.

$y - 2 = 7 x + 7 \cdot - 1$

Multiply $7$ by $- 1$ .

$y - 2 = 7 x - 7$

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

Add $2$ to both sides of the equation.

$y = 7 x - 7 + 2$

Add $- 7$ and $2$ .

$y = 7 x - 5$

List the equation in different forms.

Slope-intercept form:

$y = 7 x - 5$

Point-slope form:

$y - 2 = 7 \cdot (x - 1)$

Find the Equation Using Point-Slope Formula through: (1,2) , slope=7

Related Questions

Support LCMGCF.com by disabling your adblocker.