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Butoxors [25]
3 years ago
7

Please hurry need done asap

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
7 0

Answer:

y=0.46591x+7.71591

Step-by-step explanation:

Labelled points are (21,\: 17.5)=(x_1,\:y_1) \: \&\:(43,\: 27.75)=(x_2,\:y_2)

Slope of line (m) =\frac{27.75-17.5}{43-21}  =\frac{10.25}{22} =\frac{41}{88}

Equation of line in point - slope form is given as:

y-y_1 = m(x-x_1)

\therefore y-17.5= \frac{41}{88} (x-21)

\therefore y= \frac{41}{88} x-\frac{861}{88}+17.5

\therefore y= \frac{41}{88} x+17.5-\frac{861}{88}

\therefore y= \frac{41}{88} x+\frac{1,540-861}{88}

\therefore y= \frac{41}{88} x+\frac{679}{88}

\therefore y=0.465909091x+7.71590909

\therefore y=0.46591x+7.71591

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Can someone help me with number 4,5 and 6?
True [87]
4) You know slope-intercept form is y=mx+b. So using these two given points, you can find the slope! 

(-8,5)  (-3,10) [Use the y1-y2 over x1-x2 formula to solve for slope]

10 - 5         5
---------   = ----- = 1 
-3-(-8)         5

Hurray! You got a slope of one. Now substitute this back into your original equation:
y=mx+b --> y=1x+b 

Next, we find what our "b" is, or what our y-intercept is:
Using one of the previous points given, substitute them into the new equation:
[I used the point (-3, 10) ]

y=1x+b
10=1(-3)+b  SUBSTITUTE 
10=-3+b     MULTIPLY
10=-3+b
+3   +3    ADD
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So, now we have our y-intercept. Use this and plug it into the equation:
y=1x+b --> y=1x+13 

y=1x+13 is our final answer.



5) So for perpendicular lines, your slope will be the opposite reciprocal of the original slope. (Ex: Slope is 2, but perpendicular slope is -1/2) 

We have the equation y= 3x-1, so find the reciprocal slope! 
--> y=-1/3x-1 

Good! Now we take our given point, (9, -4) and plug it into the new equation:

y=-1/3x-1
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+3   +3            ADD
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-1=b    SIMPLIFY 

So, our final answer is y=-1/3x+(-1)

6) I don't know, sorry! :( 
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emmasim [6.3K]

Answer:

ok

Step-by-step explanation:

ok

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What is the value of x in the equation 4x+8y=40 when y = 0.8
fgiga [73]

When y=0.8

4x +8(0.8) =40

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