Given two points, (x1, y1) and (x2, y2), the slope can be found by ...
... slope = (change in y)/(change in x) = (y2-y1)/(x2-x1)
For your given points, the slope is
... slope = (79 -(-20))/(9 -(-2)) = 99/11 = 9
The point-slope equation for a line with slope m through point (h, k) is
... y -k = m(x -h)
You have m=9, h=-2, k=-20, so the equation is
... y +2 = 9(x +20)
There are two methods to do this:
1. 2(x + 1) = 38
2*x + 2*1 = 38 (Expand the bracket)
2x + 2 = 38
2x = 36 (Subtract 2 from both sides)
x = 18 (Divide each side by 2)
2. 2(x + 1) = 38
(x + 1) = 19 (Divide each side by 2)
x = 18 (Subtract 1 from each side)
Answer:
1⅓x + y = 9
Step-by-step explanation:
Convert the Standard Form of the given line to Slope-Intercept Form:
- -4y = -3x + 2 [Move -3x to the right side of the equivalence symbol]
- y = ¾x - ½ [Divide everything by -4]
Then, after getting your equation, take the OPPOSITE MULTIPLICATIVE INVERSE of ¾ [perpendicular lines have OPPOSITE MULTIPLICATIVE INVERSE <em>Rate</em><em> </em><em>of</em><em> </em><em>Changes</em><em> </em>(<em>SLOPES</em>)], which is -1⅓ [or -4⁄3]. After getting your slope, you can perform the action with your given ordered pair to find your y-intercept:
1 = -1⅓[6] + b
-8
9 = b
Now that you have your y-intercept, this is your new equation in <em>Slope-Intercept Form</em>:
y = -1⅓x + 9
We are not done just yet. The final step is to convert the Slope-Intercept Form of the line to Standard Form, and here is how it is done:
y = -1⅓x + 9
+1⅓x +1⅓x
--------------
1⅓x + y = 9 → Final equation
If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.
**On my channel, I have a video that pretty much explains how to something like this. It is the longest video on there. You should be capable of finding it in a jip!
Irst thought: since he needs 7 3/4 tons, and each load can carry LESS than a ton, he'll need to make MORE than 7 3/4 loads. So when you get your answer, make sure it it passes that common sense test. Next: He's got to divide the 7 3/4 ton total among all those loads, 3/4 ton at a time. So he needs to divide: 7 3/4 divided by 3/4. It will be easier to do the math if we turn 7 3/4 into an improper fraction, which will be 31/4. So we have to divide 31/4 divided by 3/4, which will give us 10, with 1/4 left over, for a total of 10 1/4 loads. BUT: the wording is that each load carries AT MOST 3/4 ton, so he may carry less than that amount in any given load(s). So he needs to do an amount GREATER THAN OR EQUAL TO 10 3/4 loads. For practical purposes, that means he has to fill his truck (at least part way) 11 different times. (Think of it as completely filled the first 10 times, and 3/4 filled on the 11th/final time.)
Answer:
589.26
Step-by-step explanation:
427*.38=162.26
162.26+427=589.26
