What graph represents a function with direct variation?

This means that as x increases, y increases and as x decreases, y decreases—and that the ratio between them always stays the same. The graph of the direct variation equation is a straight line through the origin. for some constant k . This means that as x increases, y decreases and as x decreases, y increases.


How do you know if a graph represents a direct variation?

A graph shows direct variation if it goes through the origin, (0,0) . The equation is y=kx , where k is a constant, which is apparent when we write the equation as yx=k . In slope-intercept form, the equation would be y=mx+b , where m=k , and b=0 .


Which sequence is generated by the function f n 1/f n )- 2 for F 1 )= 10?

Summary: The sequence is generated by the function f(n + 1) = f(n) - 2 for f(1) = 10 is 10, 8, 6, 4, 2…


What equation represents a direct variation?

y = kx

A direct-variation relationship can be represented with an equation of the form y = kx, where k is the constant of variation. Because a direct variation is a proportional relationship, using an equation is an alternate strategy for solving a proportion.


What is a direct variation?

Definition of direct variation

1 : mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. 2 : an equation or function expressing direct variation — compare inverse variation.


Which is an example of a direct variation?

For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.


What is the constant of variation K of the direct variation y equals KX through (- 3 2?

k = -2/3

Answer: The constant of variation k for y = kx through (-3, 2) is k = -2/3.


What is the constant variation K of the direct variation y equals KX through 5 8?

k = 8/5

The constant of variation, k, of the direct variation, y = kx, through (5, 8) is k = 8/5.


What is the slope of the line represented by the equation f/t )= 2t − 6?

What is the slope of the line represented by the equation f(t)=2t−6? The slope is 2 and the y-intercept is −6.


What is the slope of the graph slope?

The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run . You can determine the slope of a line from its graph by looking at the rise and run.


Which linear function represents the line given by the point?

The linear function represents the line given by the point-slope equation y + 1 = -3(x - 5) is y = -3x + 14.


What is the slope of a line that is parallel to the line y =- 1 5?

Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .


What is the graph of the direct variation equation y equals 5 2x?

Solution and Answer

The graph of the direct variation equation y = 5/2x is a linear graph with a slope of 5/2. To graph the given direct variation equation, determine two points on the line. For instance, solve for the value of y for x = 0, and x = 2.


What is direct square variation?

Again, a Direct Square Variation is when y is proportional to the square of x, or y=k{{x}^{2}}.


Which graph does not represents a function?

The Horizontal Line Test

The x value of a point where a vertical line intersects a function represents the input for that output y value. If we can draw any horizontal line that intersects a graph more than once, then the graph does not represent a function because that y value has more than one input.