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:

10.

Step1: Identify y - intercept from graph

The line crosses the y - axis at the point (0, 5). So the y - intercept is 5.

Step2: Interpret meaning

The y - intercept represents the initial cost of renting the bike. When the time (x) is 0 hours, the cost is 5 dollars. This could be a fixed fee for renting the bike.

Step1: Recall y - intercept form

The equation of a line is \(y=mx + b\), where \(b\) is the y - intercept. For the line \(y=-x - 4\), \(b=-4\). When \(x = 0\), \(y=-4\). The ordered - pair of the y - intercept is \((0,-4)\).

Step1: Solve for y

Starting with \(x-4y = 4\), first subtract \(x\) from both sides: \(-4y=-x + 4\).

Step2: Divide by - 4

\(y=\frac{1}{4}x - 1\)

Answer:

y - int.: 5; Explanation: It is the fixed cost of renting the bike (the cost when time = 0 hours)

11.