I have 2 questions that I need help with if someone could please help me step by step to figure out how to do this equation it would be very helpful. Thank you

1. Suppose y varies directly with x and, y=15 and x=5. Write a direct variation equation that relates x and y. What is the value of y when x=9?

2. Write the equation in standard form using integers (no fractions or decimals.): y=-2/3x-1
I'm not really sure at all with this one is it
y=-2/3(0)-1

Thank you

1 answer

1. When X = 5, Y = 3*5 = 15. Since Y varies directly with X, Y will ALWAYS be 3 times X: Y = 3x.

2. Slope-Intercept Form: Y = (-2/3)x - 1.
Multiply both sides by 3:
3y = -2x - 3,
Add 2x to both sides:
2x + 3y = -3,
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