Differential equations, Slope Fields, and More!

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Consider the differential equation
dy/dx = e^y(4x²-5x). Let y=f(x) be the particular solution to the differential equation that passes through (1, 0).
Write an equation of the line tangent to the graph of f at the point (1, 0).

• y=x-1
• y=2(x-1)
• y=-(x-1)
• y=-2(x-1)

Which of the following equations solves dy/dt = ky?

• y = Ce^kt

• y = mx + b

• y = a(x - h)² + k

• y = Asin[B(x - C)] + D