Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x^2 + 2y^2 = 2
1 answer:
This is an equation representing the ellipse
Explanation:
- The general equation for an ellipse is
so, when you simplify it according to the characteristics of a and b, you would end up in the similar form of the equation given
- where a represents half the length of the major axis and b represents half the length of the minor axis.
- The easiest method to identify, look at whether both the variables are squared, and also the coefficient of x and y should be positive but different.
You might be interested in
Answer:
(-5, -3)
Step-by-step explanation:
To graph the two equations, you can look at two things, the slope and the y-intercept.
The two equations are in slope-intercept form, y= mx + b. m is the slope and b is the y-intercept. The slope is rise/run and the y-intercept is where the line crosses the y-axis.
In the first equation, the slope is -1 and the y-intercept is -8. So, to graph you would start at (0, 8) and move up one unit and then left one unit to get the next point.
For the second equation, the slope is 2/5 and the y-intercept is -1. So, to graph you would do the same thing. Start at (0, -1) and then go up 2 units and right 5 units to get the next point.
I've attached a graph below if you need it.
