Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
• Given the table of values, you can identify these points:
If you plot them on a Coordinate Plane, you get:
As you can observe, it is a Linear Function.
• The equation of a line in Slope-Intercept Form is:
Where "m" is the slope of the line and "b" is the y-intercept.
In this case, you can identify in the graph that:
Therefore, you can substitute that value and the coordinates of one of the points on the line, into this equation:
And then solve for "m", in order to find the slope of the line.
Using this point:
You get:
Therefore, the equation for the data in Slope-Intercept Form is:
Hence, the answer is:
• It represents a Linear Function.
,• Equation:
