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WILL GIVE BRAINLIEST AND 20 POINTS!
Find the equation of the line which passes through the point (11,8) and is parallel to the given line. Express your answer in slope-intercept form. Simplify your answer.
6x+8y=15

Respuesta :

shonteonsmalley
y= - 3/4 x + 15/8

hope that helps
HuangSo

[tex]\color{Green}x = - \frac{4y}{3} + \frac{5}{2} [/tex]

Step By Step Explanation:

y = - 3/4× + 15/8

Step 1

  • Swap sides so that all variable terms are on the left hand side.

[tex] - \frac{3}{4} x + \frac{15}{8} = y[/tex]

Step 2

  • Subtract [tex]\frac{15}{8}[/tex] from both sides.

[tex] - \frac{3}{4} \times = y - \frac{15}{8} [/tex]

Step 3

  • Divide both sides of the equation by -[tex]\frac{3}{4}[/tex] which is the same as multiplying both sides by the reciprocal of the fraction.

[tex] \frac{ - \frac{3}{4} \times}{- \frac{3}{4} } = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]

Step 4

  • Dividing by [tex]-\frac{3}{4}[/tex] undoes the multiplication by [tex]-\frac{2}{4}[/tex]

[tex]x = \frac{y - \frac{15}{8} }{ - \frac{3}{4} } [/tex]

Step 5

  • Divide [tex]y-\frac{15}{8}[/tex] by -\frac{3}{4} by multiplying [tex]y-\frac{15}{8}[/tex] by the reciprocal of [tex]-\frac{3}{4}[/tex]

[tex]\color{Green}x = \frac{ - 4y}{3} + \frac{5}{2} [/tex]

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