A line connecting the points (x, 12) and (12, 9) has a slope 1.4. Determine X.
a. 9
b. 10
c. 7
d. 8
Steepest slope?
a. 0.4
b. undefined
c. 0.1
d. -1 over 7
Flattest slope?
a. 7 over 9
b. 0 (THIS ONE)
c. undefined
d. 2 over 3
The first one is C. Im pretty sure.
you got the last one right
alright thanks
To determine X in the first question, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
Let's plug in the given values: (x1, y1) = (x, 12) and (x2, y2) = (12, 9). The slope is given as 1.4:
1.4 = (9 - 12) / (12 - x)
To solve for X, we can multiply both sides of the equation by (12 - x):
1.4 * (12 - x) = 9 - 12
Distributing the 1.4 on the left side:
16.8 - 1.4x = -3
Now, let's isolate x by moving -1.4x to the right side:
16.8 = -1.4x - 3
Adding 3 to both sides:
19.8 = -1.4x
Dividing both sides by -1.4 gives us:
x = -19.8 / -1.4
Simplifying the right side:
x = 14.142857142857142
So, the value of x is approximately 14.142857142857142.
Therefore, none of the given answer options (a, b, c, d) match the value of x.
For the second question, to find the steepest slope, we need to compare the options given: 0.4, undefined, 0.1, and -1 over 7.
The steepest slope would be the largest absolute value among the options. In this case, -1 over 7 is the smallest absolute value as it is the closest to zero.
Therefore, the correct answer is d. -1 over 7.
For the third question, we need to find the flattest slope. Again, we compare the given options: 7 over 9, 0, undefined, and 2 over 3.
The flattest slope would be the option closest to zero. In this case, 0 is exactly zero.
Therefore, the correct answer is b. 0.