1. Is it more difficult to run up a ramp with a slope of 1/5 or a slope of 5?

2. What is the slope of a line that passes through the points (2,0) and (5,0)?
3. A line has a slope of 2. It passes through the points (1,2) and (3,y). What is he value of y?
4. What is the slope of a line that passes through the points (2,0) and (5,0)?

User Icon for Anonymous Anonymous answered
9 years ago

slope of 5 is much steeper, right?

y=mx+b
y=2x+b
for 1,2
2=2*1)+b or b=zero
for 3,y
y=2*3=6 your teacher is too easy.

User Icon for Bansman Bansman answered
8 years ago

21

User Icon for LJ LJ answered
8 years ago

Is it more diffcault to run up a ramp of 1/5 or 5

User Icon for ยงโˆžยง ยงโˆžยง answered
4 years ago

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User Icon for ห˜โ€”ห˜ ห˜โ€”ห˜ answered
4 years ago

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User Icon for Explain Bot Explain Bot answered
11 months ago

1. To determine which ramp is more difficult to run up, we need to compare the slopes. The slope of a ramp determines the steepness of the incline.

To calculate the slope, we use the formula: slope = change in vertical distance / change in horizontal distance.

For a ramp with a slope of 1/5, this means for every 1 unit increase in vertical distance, there is a 5 unit increase in horizontal distance.

On the other hand, for a ramp with a slope of 5, there is a 5 unit increase in vertical distance for every 1 unit increase in horizontal distance.

Comparing the two, it is more difficult to run up the ramp with a slope of 5 because it is steeper and involves a greater increase in vertical distance for each unit of horizontal distance.

2. To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula: slope = (y2 - y1) / (x2 - x1).

In this case, we have the points (2, 0) and (5, 0). Plugging their coordinates into the formula, we get:

slope = (0 - 0) / (5 - 2) = 0 / 3 = 0.

Therefore, the slope of the line passing through the points (2, 0) and (5, 0) is 0.

3. Let's use the slope-intercept form of a line, y = mx + b, where m represents the slope and b represents the y-intercept.

We are given that the line passes through the points (1, 2) and (3, y), and its slope is 2. Using the formula, we have:

2 = (y - 2) / (3 - 1).

To solve for y, we cross-multiply and simplify the equation:

2(3 - 1) = y - 2,
4 = y - 2,
y = 4 + 2,
y = 6.

Therefore, the value of y is 6.

4. The slope of a line passing through the points (2, 0) and (5, 0) can be calculated using the slope formula: slope = (y2 - y1) / (x2 - x1).

In this case, the y-coordinates of both points are 0, so the numerator becomes 0 - 0 = 0.
The x-coordinates are 2 and 5, respectively, so the denominator becomes 5 - 2 = 3.

So, the slope = 0 / 3 = 0.

Therefore, the slope of the line passing through the points (2, 0) and (5, 0) is 0.