Question

Explain the relationship between the “c” value of a quadratic equation and the “b” value of a linear equation. Support your explanation with examples.

Answer 1

Both represent where the graphs cross the y-axis. This value is called the y-intercept.

The quadratic equation
`y=a x^(2) +bx+c` is used to represent a quadratic relationship, and if you replace x with 0 which is how you find the y-intercept, the result is y = c.
Example:

`y=5 x^(2) +3x-4`⇒
`y=5(0)^2+3(0)-4`⇒
`y=-4`

The linear equation
`y=mx+b` is used to represent a linear relationship, and if you replace x with 0 which is how you find the y-intercept, the result is y = b.
Example:

`y=4x-7`⇒
`y=4(0)-7`⇒
`y=-7`