Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Remember the equation
The slope intercept form is y = mx + b where m is the slope and b is the y-intercept
Step 2: Solve
We can see the y-intercept(where the line crosses the y axis) is at y = -3
We know slope is so we can see for every 1 square it moves right it moves 2 up so the slope would be
or 2
Plug what we know into the equation
y=2x-3
Step 3: Therefore Statement
Therefore the equation of the line shown below is y = 2x - 3
Zeroes:
We must solve
To do so, we define the auxiliary variable . The equation becomes
The quadratic formula yields the solutions
Substituting back gives
So, the zeroes are -6, -3, 3, 6.
Turning points:
Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.
We have
If we set the derivative to be zero, we have
So, the derivative is zero if x=0 or
