Answer: -0.5.
Step-by-step explanation:
The constant of variation k for the direct variation is given by:-

The given table:
x f( x )
0 0
2 -1
4 -2
7 -3.5
Then,

Hence, the constant of variation k for the direct variation is -0.5.
<h2>
Explanation:</h2><h2>
</h2>
Here you haven't provided any function, so I'll assume this one:

This is a quadratic function whose graph represents a parabola. Any parabola has its vertex at the point:

Therefore:

Therefore, the vertex is:

No it doesn’t make any of them true
The equation in slope intercept form is,
. The given equation is obtained by comparing the standard equation of the straight line.
<h3>What is a slope of a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:

The given equation is;
1.25 (25) = 31.25
31.25=1.25 (25)
The standard equation of the slope intercept form. is;

On comparing the given equation with the above equation, we get;
y=31.25
m=1.25
x=25
c=0
The equation in slope intercept form is;

Hence, the above equation is the slope intercept form.
Learn more about the slope of the straight line;
brainly.com/question/3493733
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1. x intercept - (2,0)
y intercept - (0,4)
2. x intercept - (3,0)
y intercept - (0,-5)