Find the Slope and y-intercept (0,6) , (6,0)

$(0, 6)$ , $(6, 0)$

Find the value of the slope.

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{change in y}{change in x}$

The change in $x$ is equal to the difference in x-coordinates (also called run), and the change in $y$ is equal to the difference in y-coordinates (also called rise).

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{0 - (6)}{6 - (0)}$

Simplify.

Simplify the numerator.

Multiply $- 1$ by $6$ .

$m = \frac{0 - 6}{6 - (0)}$

Subtract $6$ from $0$ .

$m = \frac{- 6}{6 - (0)}$

Simplify the denominator.

Multiply $- 1$ by $0$ .

$m = \frac{- 6}{6 + 0}$

Add $6$ and $0$ .

$m = \frac{- 6}{6}$

Divide $- 6$ by $6$ .

$m = - 1$

Find the value of the y-intercept.

Substitute the value of $m$ into the slope-intercept form of the equation, $y = m x + b$ .

$y = (- 1) \cdot x + b$

Substitute the value of $x$ into the slope-intercept form of the equation, $y = m x + b$ .

$y = (- 1) \cdot (0) + b$

Substitute the value of $y$ into the slope-intercept form of the equation, $y = m x + b$ .

$6 = (- 1) \cdot (0) + b$

Rewrite the equation as $(- 1) \cdot (0) + b = 6$ .

$(- 1) \cdot (0) + b = 6$

Simplify $(- 1) \cdot (0) + b$ .

Multiply $- 1$ by $0$ .

$0 + b = 6$

Add $0$ and $b$ .

$b = 6$

List the slope and y-intercept.

Slope: $- 1$

y-intercept: $(0, 6)$

Find the Slope and y-intercept (0,6) , (6,0)

Related Questions

Support LCMGCF.com by disabling your adblocker.