We dealt with a lot of things this week, especially about systems. And for this blog, I’m going to talk about **linear-quadratic system**.

Let’s have a quick recap:

**Linear equation**deals with a straight line on the graph. Basically, an equation of a line.- The equation being known as
**y = mx + b**, where**m**is the*slope,*and**b**is the*y-intercept.*

- The equation being known as
**Quadratic equation**deals with a parabola on a graph, with the equation having at least one**squared variable**.- The standard equation being known as
**y = a (x – p)**.^{2}+ q*Find out more on my blog post about quadratic equations!*

- The standard equation being known as
- Together, they form a relation called
.**System of Linear and Quadratic Equation**

**Systems** *(where they intersect)* of these two equations can be find out or solved:

- graphically.
- algebraically.
- substitution.
- elimination.

However, in this blog I’m only going to talk about solving it graphically.

*(At this point, you should be able to graph both of them!)*

NOTE: There are three possible cases that can happen if you finished graphing them!

*(graphs used are in courtesy of desmos!)*

**Two solutions**– if the line passes on two points of the parabola**One solution**– if the line passes only on one point of the parabola.**No solution**– if the line and the parabola doesn’t cross at all.