Respuesta :

-3y=-7x+21
y=7/3x+7
The slope of the line is 7/3

Answer:

Slope = [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

Slope intercept form is Y= mx + b. So, you just need to get y by itself.

7x - 3y = 21

1) Subtract 7x

-7x + 7x - 3y = -7x + 21

-3y = -7x + 21

2) Divide by -3

-3y/-3 = [tex]\frac{-7}{-3} x + \frac{21}{-3}[/tex]

y = [tex]\frac{7}{3} x -7[/tex]

-7/-3 is the same as 7/3 because a negative divided or multiplied by a negative is a positive. so mine as well just put it as a positive fraction.

Slope = [tex]\frac{7}{3}[/tex]

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