Question

Find the slope , intercept and what to plot on the following equation which also need to be manipulated.

1.y=ax+1/2bx^2

2. Y^2 = b^2 +2ax

3. a/x+b/y = c

Answer 1

1) Intercept:

$$ax+0.5bx^2=0\\x=-\frac{2a}{b}$$

Slope:

$$k(x)=a+bx$$

2) Intercept:

$$b^2 +2ax=0\\x=-\frac{b^2}{2a}$$

Slope

$$k=2a$$

3) Slope: none

$$k=-\frac{a}{b}$$