Answer:
Step-by-step explanation:
3x + 3 + 3x - 1 = 3x + 8
6x + 2 = 3x + 8
3x + 2 = 8
3x = 6
x = 2
HJ= 3(2) + 8 =6 + 8 = 14
HI= 3(2) - 1 = 6 - 1 = 5
IJ = 3(2) + 3 = 6 + 3 = 9
Answer:
Part a) The slope is
Part b) The equation in point slope form is
Part c) The equation in slope-intercept form is 
Step-by-step explanation:
we have the points (3,4) and (-3,6)
Part a) What is the slope of the line?
The formula to calculate the slope between two points is equal to
substitute the given points
Part b) Write the equation of the line in point-slope form

we have

substitute
---> equation in point slope form
Part c) Write the equation of the line in slope-intercept form

we have

Isolate the variable y
distribute right side

Adds 4 both sides

---> equation in slope intercept form
Decimal division is super easy, let me show you how.
First, let's remove the decimal from both numbers. We have <em>184 </em>and <em>340</em>. Now let's multiply those two numbers.
184*340 = 62560.
Now, we need to figure out how many decimal places are in the original decimals. 18.<u>4</u> has one decimal place, and 3.<u>4</u> has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)
Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.
If there's only two decimal places in 62560, it would look like this: 62.<u>56</u> (<em>Remember, zeros at the end of a decimal does not count as a decimal place!)</em>
There's your final answer. 62.56.
Hope this explanation helped you out. :)
60%, 900/1500 would be .6 and in terms of percent would be 60.
<span>In this formula :
</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62 = 0</span><span> and calculate its properties
</span>
Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000
<span> y-intercept = 62/2 = 31
</span>
When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667
<span> x-intercept = 62/3 = 20.66667
</span>
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
<span> Slope = -3.000/2.000 = -1.500
</span><span>
1.Slope = -3.000/2.000 = -1.500
2.x-intercept = 62/3 = 20.66667<span>
3.y-intercept = 62/2 = 31
I got sources from a few websites so excuse if something is weird/wrong.
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