10) the graph models the total cost of renting a bike. what is the y - intercept of the line? explain the…

10.

Explanation:

Step1: Identify y - intercept on graph

The line crosses the y - axis at the point (0, 10). So the y - intercept is 10.

Step2: Interpret meaning

It means that there is a fixed cost of $10 just to rent the bike (even if you rent it for 0 hours).

Answer:

10

11.

Explanation:

Step1: Recall y - intercept form

For the equation $y=-x - 4$, in the form $y = mx + b$, the y - intercept is when $x = 0$.

Step2: Find the ordered - pair

When $x = 0$, $y=-0 - 4=-4$. The ordered pair is (0, - 4).

Answer:

(0, - 4)

12.

Explanation:

Step1: Solve for y

Start with $x-4y = 4$. Subtract $x$ from both sides: $-4y=-x + 4$.

Step2: Isolate y

Divide each term by - 4: $y=\frac{1}{4}x - 1$.

Answer:

$y=\frac{1}{4}x - 1$

13.

Explanation:

Step1: Rewrite the given line in slope - intercept form

For $9x + 3y=11$, isolate $y$. Subtract $9x$ from both sides: $3y=-9x + 11$. Then divide by 3: $y=-3x+\frac{11}{3}$.

Step2: Determine slope of parallel line

Parallel lines have the same slope. The slope of the given line is - 3, so the slope of a parallel line is - 3.

Answer:

• 3

14.

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given $m = 0$ and $b = 3$, the equation is $y=0x + 3$ or $y = 3$.

Step2: Graph the line

The line $y = 3$ is a horizontal line passing through the point (0, 3) on the y - axis. It has a constant y - value of 3 for all x - values.

Answer:

Graph a horizontal line passing through the point (0, 3) on the y - axis.