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machoyt26 machoyt26
  • 09-05-2024
  • Mathematics
Answered

Solve for slope 3x-4y=10

m=?

Verified Answer :

jimrgrant1 jimrgrant1
  • 09-05-2024

Answer:

slope m = \(\frac{3}{4}\)

Step-by-step explanation:

The equation of a line in slope- intercept form is

• y = mx + c ( m is the slope and c the y- intercept )

given

3x - 4y = 10 ( subtract 3x from both sides )

- 4y = - 3x + 10 ( divide through by - 4 )

\(\frac{-4}{-4}\) y = \(\frac{-3}{-4}\) x + \(\frac{10}{-4}\) , that is

y = \(\frac{3}{4}\) x - \(\frac{5}{2}\) ← in slope- intercept form

with slope m = \(\frac{3}{4}\)

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