A few days ago
Anonymous

Slopes and Intercepts, Math Help?

Here are the questions, all of the help is appreciated greatly!

1. Which line is the flattest (or is less steep)? Why?

y = 5x -6

y = 5x + 6

y = x – 3

y = 1/2x + 3

2. The line y = 4x – 7 crosses the y axis at:

(4, 0)

(0, 4)

(-7, 0)

(0, -7)

3. You are sliding a big cabinet down a truck ramp for a customer. You must maintain control of the cabinet because it is very heavy. There are 2 ramps in the building.

The equation of ramp 1 is y = 2x + 7 and the equation of ramp 2 is y = 3 x + 7. Which is the safest ramp to slide the cabinet down without losing control and why?

4. Write the equation of a line whose slope is 6 and whose y intercept is -3.

5. Find the x and y intercepts of each linear equation. Answer as ordered pairs.

y = 3x – 6

6y = -x + 2

6. What happens to the graph of the line y = 3x -2 when the equation is changed to y = 3x +6?

7. What happens to the graph of the line y = 2x – 5 when the equation is changed to y=5x+6

Top 3 Answers
A few days ago
TitoBob

Favorite Answer

1) The flattest line would have the smallest value of m (the slope) in the form y = mx + b. The fourth one fits this rule.

2) The y-axis has an x-coordinate of 0, so the intercept would be (0,-7). That’s the fourth one again.

3) The first ramp would be the safest because it has the smaller slope (of 2).

4) y = 6x – 3.

5) Sorry, forgot how to do the x-intercept

6) The graph line of the second equation is parallel to the first (same slope), but it is moved vertically (upwards) +8 points. (The y-intercept is 8 more.)

7) The graph line of the second equation would be steeper (the slope is greater), and it would cross the y-axis 11 points higher.

0

A few days ago
Francis C
I’m not going to give answers… Sorry! But I’ll give you hints…

These equations are in their slope intercept form which are written using the following equation:

y=mx+c

m refers to the gradient (slope)

c refers to the y intercept (where the line touches the y axis)

m can be found by using the following formula:

rise/run

So if a line runs (goes to the right) 4 and rises (goes up) 8 your formula will be…

8/4

which becomes

2

So your m value will be 2…

If you try using different rise and run values you will learn that the bigger a certain m value is the steeper the slope will be.

*The c value written in ordered points should look like this:

(0,c)

This is because the y-axis is always on x=0. So the x value will always be 0 when the graph touches the y axis. The y-value will determine where on the y-axis the graph will touch.

Work on it from there. Good Luck!

0

A few days ago
~~brown-eyed-beauty~~
remember u sub. or add from the other side
0