ebra 1 K.4 Find a missing coordinate using slope 507 A line that includes the points $$ (-9, p) $$ and $$ (0,-10) $$ has a slope of $$ -\frac{1}{9} $$. What is the value of $$ p $$ ? $$ p=\square \text { Video } $$ Submit

Question

UpStudy AI · Accepted Answer

To find the missing coordinate $$ p $$ for the point $$ (-9, p) $$ on the line with the point $$ (0, -10) $$ and a slope of $$ -\frac{1}{9} $$, we can use the formula for the slope between two points:

$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

Here, we can assign:
- $$ (x_1, y_1) = (0, -10) $$
- $$ (x_2, y_2) = (-9, p) $$
- $$ m = -\frac{1}{9} $$

Substituting these values into the slope formula gives us:

$$
-\frac{1}{9} = \frac{p - (-10)}{-9 - 0}
$$

This simplifies to:

$$
-\frac{1}{9} = \frac{p + 10}{-9}
$$

Next, we can multiply both sides by $$-9$$ to eliminate the denominator:

$$
-9 \cdot -\frac{1}{9} = p + 10
$$

This simplifies to:

$$
1 = p + 10
$$

Now, we can solve for $$ p $$ by subtracting 10 from both sides:

$$
p = 1 - 10
$$

Thus, we find:

$$
p = -9
$$

So the value of $$ p $$ is:

$$
\boxed{-9}
$$
$$ p = -9 $$

ebra 1 K.4 Find a missing coordinate using slope 507 A line that includes the points \( (-9, p) \) and \( (0,-10) \) has a slope of \( -\frac{1}{9} \). What is the value of \( p \) ? \[ p=\square \text { Video } \] Submit

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions