1. The equation for a line can be represented as such:
Where is the slope and is the y intercept.
The equation for slope is , or . You have two points so you have two x coordinates and two y coordinates. It does not matter what you choose to be so long as you make the corresponding y value .
Calculate the slope, then plug it in to the equation using either of your original points to find .
2. When you have an equation like , the roots are whatever makes that equation true. So, for to be equal to 0, either , or .
Now, just solve for in both cases.
Case 1: , therefore
Case 2: , therefore
So, the roots of the equation are 10 and 30.
3. To factorize a quadratic of the form , simply use the sum and product rule. What two numbers have a sum of and a product of ?
3 and 2 add up to 5 and multiply to 6, so your factored equation would be:
4. On your calculator there should be a y= button. Simply enter the equation into it and then press GRAPH. Press 2nd CALC then select MAXIMUM to find the maximum height. Find the two roots of the equations. The time the ball is the absolute value of