Question

consider the following linear equation.

y = 10 - x

step 1 of 2: determine the slope and the ( y )-intercept (entered as an ordered pair) of the equation above. reduce all fractions to lowest terms.

slope: (quad) ( y )-intercept: (quad)

Explanation:

Step 1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the $y$ - intercept (the point where $x = 0$, so the ordered pair is $(0,b)$).

Step 2: Rewrite the given equation

The given equation is $y=10 - x$. We can rewrite it in the form $y=mx + b$ as $y=-x + 10$.

Step 3: Identify the slope

Comparing $y=-x + 10$ with $y=mx + b$, we see that $m=- 1$. So the slope is $-1$.

Step 4: Identify the y - intercept

When $x = 0$, we substitute $x = 0$ into the equation $y=10 - x$. We get $y=10-0 = 10$. So the $y$ - intercept is the ordered pair $(0,10)$.

Answer:

Slope: $-1$
y - intercept: $(0,10)$