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Makovka662 [10]
2 years ago
10

Write an equation in point-slope form, slope intercept form, and standard form for a line that passes through (-2,8) with slope

8/5
please help :(((( don’t give answers if you aren’t sure
Mathematics
1 answer:
a_sh-v [17]2 years ago
6 0

9514 1404 393

Answer:

  • y -8 = 8/5(x +2)
  • y = 8/5x +56/5
  • 8x -5y = -56

Step-by-step explanation:

Since you're given a point and slope, it is convenient to start with that form.

<u>Point-slope form</u>

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -8 = 8/5(x +2) . . . point-slope equation

__

<u>Slope-intercept form</u>

  y = mx + b . . . . . line with slope m and y-intercept b

The above equation can be rearranged to this form.

  y = 8/5x +16/5 +8

  y = 8/5x +56/5 . . . . . slope-intercept form

__

<u>Standard form</u>

  ax +by = c

Multiplying by 5 and subtracting the y-term gives the general form equation ...

  5y = 8x +56

  8x -5y +56 = 0

  8x -5y = -56 . . . . . . add -56 to put into standard form

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beks73 [17]

Answer:

The Value of a=\frac{15}{4}.

Step-by-step explanation:

We have Named the figure please find the attachment for your reference.

Given:

PR = y

QR = a

RS = b

PS = z

PQ = x

QS = 15

∠P = 90°

∠R = 90°

∠Q = 60°

∠S = 30°

We need to find the Value of 'a'.

Solution:

Now we know that:

In Δ PQS

∠P = 90°

∠S = 30°

Now we know that;

sin\ \theta = \frac{opposite\ side}{Hypotenuse}

sin \ S= \frac{PQ}{QS}

Substituting the given values we get;

sin\ 30\°=\frac{x}{15}

Now we know that;

sin\ 30\° = \frac12

So we can say that;

\frac{1}{2}=\frac{x}{15}\\\\x=\frac{15}{2}

Now In Triangle PQR.

∠R = 90°

∠Q = 60°

So we can say that;

Cos \theta = \frac{adjacent \ Side}{Hypotenuse}\\

Cos\ Q = \frac{QR}{PQ}

Substituting the given values we get;

cos 60\°= \frac{a}{x}

Now we know that;

cos 60\°= \frac12

x=\frac{15}{2}

So substituting the values we get;

\frac{1}{2}=\frac{a}{\frac{15}{2}}

By Using Cross Multiplication we get;

a= \frac{1}{2}\times\frac{15}{2}\\\\a=\frac{15}{4}

Hence The Value of a=\frac{15}{4}.

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3 years ago
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