Find the Slope and y-intercept (-7,4) , (1,4)

$(- 7, 4)$ , $(1, 4)$

Step 1

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.

$m = \frac{4 - (4)}{1 - (- 7)}$

Simplify.

Simplify the numerator.

Multiply $- 1$ by $4$ .

$m = \frac{4 - 4}{1 - (- 7)}$

Subtract $4$ from $4$ .

$m = \frac{0}{1 - (- 7)}$

Simplify the denominator.

Multiply $- 1$ by $- 7$ .

$m = \frac{0}{1 + 7}$

Add $1$ and $7$ .

$m = \frac{0}{8}$

Divide $0$ by $8$ .

$m = 0$

Step 2

Find the value of the y-intercept.

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

$y = (0) \cdot x + b$

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

$y = (0) \cdot (- 7) + b$

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

$4 = (0) \cdot (- 7) + b$

Rewrite the equation as $(0) \cdot (- 7) + b = 4$ .

$(0) \cdot (- 7) + b = 4$

Simplify $(0) \cdot (- 7) + b$ .

Multiply $0$ by $- 7$ .

$0 + b = 4$

Add $0$ and $b$ .

$b = 4$

Step 3

List the slope and y-intercept.

Slope: $0$

y-intercept: $(0, 4)$

Step 4

Find the Slope and y-intercept (-7,4) , (1,4)

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