Slopes and Intercepts, Math Help?
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
Favorite Answer
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.
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!
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