Answer: y = - 0.4 x - 4.5
Step-by-step explanation:
Equation y=mx+b
m is the slope
x is *ANY* x coordinate
y is *ANY* y coordinate
b is y intercept or WHERE the point is on the Y AXIS
Lets look at the given:
Slope (m) is -2/5
Passes through point 15, -9/2
As you can see, the point goes through the Y axis at (-9/2)
Our equation is y = - 0.4 x - 4.5
The correct answer is x^2-2x+2=0
The explanation is shown below:
1. To solve the problem shown in the figure above, you must apply the following proccedure:
2. You have that the roots of the quadratic equation shown in the figure attached in the problem are:
x=-1±i
3. Then, you know the quadratic formula to solve quadratic equations, which is:
(-b±√(b^2-4ac))/2a
4. You can see in the figure that a=1 and c=2; then, by analizing this, you can conclude that the coefficient b is:
b=-2
5. Therefore, you can conclude tha the quadratic equation is:
x^2-2x+2=0
6. If you want to verify it, apply the quadratic formula to the quadratic equation shown above and you will obtain the roots shown in the figure.
