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vekshin1
3 years ago
8

Find the slope of the line that is parallel to the line with equation 3x + 4y = 10.

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0

Answer:

slope = m =\frac{-3}{4}

Step-by-step explanation:

The equation of a line in  slope-intercept form  is.

y = mx + b----->(eq 1)  

∴ m is slope

3x + 4y = 10

subtract 3x from both sides.

 3x - 3x + 4y = -3x + 10

 4y = -3x + 10

divide 4 on both sides

\frac{4y}{4}  = \frac{-3x + 10}{4}

y  = \frac{-3x}{4} + \frac{10}{4}

y  = \frac{-3}{4}x + \frac{10}{4}  ----->(eq 2)  

By comparing (eq 1) and (eq 2)  

slope = m =\frac{-3}{4}

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