Question

1. the graph models the total cost of renting a bike. what is the y - intercept of the line? explain the meaning of the y - intercept of the line. (g2b)
2. lita has to graph the line y=-x - 4. she starts by plotting its y - intercept. what is the ordered pair of the point that she plots? (g2b)
3. write the equation x - 4y = 4 in slope intercept form. (g2b)
4. what is the slope of a line that is parallel to the line 9x+3y = 11?
5. graph a line with a slope of 0 and a y - intercept of 3.

Explanation:

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Step1: Identify y - intercept on graph

The line crosses the y - axis at $y = 5$.

Step2: Interpret meaning

It is the initial cost (cost when time $x = 0$) of renting a bike, i.e., a fixed cost before any time of rental.

For the equation $y=-x - 4$, the y - intercept form is $y=mx + b$ where $b$ is the y - intercept. When $x = 0$, $y=-0 - 4=-4$. The ordered - pair for the y - intercept is $(0,y)$.

Step1: Solve for $y$ in $x-4y = 4$.

First, subtract $x$ from both sides: $-4y=-x + 4$.

Step2: Divide by $-4$.

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

Answer:

$5$

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