Write the three forms of the line parallel to the line represented by the equation, 8x+3y=11 such that it passes through the poi
nt (9, -5).
1 answer:
Answer:
- 8x + 3y = 57
- y = -8/3x + 19
- y + 5 = -8/3(x - 9)
Step-by-step explanation:
<u>Given function</u>
<u>Line parallel to the given has the same slope and passes through the point </u>
<u>Determining the equation</u>
- 8x + 3y = c
- 8*9 + 3*(-5) = c
- c=72 - 15
- c = 57
<u>So the function is in </u><u>standard</u><u> form</u>
<u>Converting to </u><u>slope-intercept</u><u> form</u>
- y = mx + b
- 3y = -8x + 57
- y = -8/3x + 573
- y = -8/3x + 19
<u>Point-slope</u><u> form, using the given point</u>
- y - y1 = m(x - x1)
- y - (-5) = -8/3(x - 9)
- y + 5 = -8/3(x - 9)
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