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ivolga24 [154]
2 years ago
12

write the equation in slope intercept form of the line that passes through -1, 11 and is parallel to the graph of y = -8x + 3

Mathematics
1 answer:
lawyer [7]2 years ago
5 0
<h2>Answer: The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ). </h2>

<h3 /><h3>Step-by-step explanation: </h3>

<u>Find the slope of the parallel line</u>

When two lines are parallel, they have the same slope.

                 ⇒  if the slope of this line = - 8

                      then the slope of the parallel line (m) = - 8

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                               ⇒  y - 11  =  - 8 (x - (-1))                                

                                ∴  y - 11  = - 8 (x + 1)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                      since   y - 11  = - 8 (x + 1)

                                        y  = - 8 x  + 3

The line from the question [ y = -8x + 3 ] passes through the point ( -1, 11 ).

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Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.
leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

12x-5y+14=0 \\ 12x-5y-14=0

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1

\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1

\Rightarrow 12h-5k-1=\pm 13

\Rightarrow 12h-5k=\pm 14

\Rightarrow 12h-5k=14,\ 12h-5k=-14

\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0

\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0
3 years ago
What is nine tenths in standard form?<br> I know it's simple but I forgot.
Fiesta28 [93]
That would be 0.9 because 9 is in the tenths place
5 0
3 years ago
Need a little help with this question please"?
zhuklara [117]
Y= 2x-3/4
M is the slope
B is the y-intercept
3 0
3 years ago
Pls help this is due before 11:59​
Aleksandr [31]

Answer:

B

Step-by-step explanation:

232/4= 58

343/7= 49

58-49= 9

4 0
3 years ago
at the sea park, one section in the stadium has 9 rows with 18 seats in each row. in the centre of each of the first 6 rows, 8 s
bonufazy [111]
10 seats are nonsplash zone

18-8=10 because there are 18 total seats and 8 splash zone seats just subtract them Hope this helped :)
7 0
3 years ago
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