javierbrizuela93 javierbrizuela93
  • 01-07-2022
  • Mathematics
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Question 9
Write the equation of the line passing through (3,-17) parallel to 8x - 7y=87

Question 9 Write the equation of the line passing through 317 parallel to 8x 7y87 class=

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Medunno13
Medunno13 Medunno13
  • 07-07-2022

Rewriting the equation of the given line in slope-intercept form,

[tex]8x-7y=87\\\\-7y=-8x+87\\\\7y=8x-87\\\\y=\frac{8}{7}x-\frac{87}{7}[/tex]

The slope of the given line is thus 8/7, and since parallel lines have the same slope, the slope of the line we want to find is also 8/7.

Substituting into point-slope form,

[tex]y+17=\frac{8}{7}(x-3)\\\\y+17=\frac{8}{7}x-\frac{24}[7}\\\\\boxed{y=\frac{8}{7}x-\frac{143}{7}}[/tex]

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