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Over [174]
3 years ago
12

Which of the following represents 3x-5y+10=0 written in slope-intercept form?

Mathematics
1 answer:
taurus [48]3 years ago
5 0

For this case we have that by definition, the equation of a line in the slope-intercept form is given by:

y = mx + b

Where:

m: Is the slope

b: Is the cut-off point with the y axis

We have the following equation:

3x-5y + 10 = 0

We manipulate algebraically:

We subtract 10 from both sides of the equation:

3x-5y = -10

We subtract 3x from both sides of the equation:

-5y = -3x-10

We multiply by -1 on both sides of the equation:

5y = 3x + 10

We divide between 5 on both sides of the equation:

y = \frac {3} {5} x + \frac {10} {5}\\y = \frac {3} {5} x + 2

Thus, the equation in the slope-intercept form is y = \frac {3} {5} x + 2

Answer:

y = \frac {3} {5} x + 2

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