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In this lesson, we will be drawing graphs in the form y=kx. We will identify features of these graphs and learn how to identify these graphs from their visual properties.

In math, direct variation is a proportional linear relationship between two variables that can be expressed as the equation y = kx, where y and x are variables and k is a constant. Figure 01: …

Graphs of Direct Variation. The graph of y = kx is a line through the origin, and the slope of said graph is k. From the graph we can see whether the value of k is positive or negative. Example. …

To graph a direct variation equation, y = kx, the steps are as follows: Substitute x with numerical values. Find the corresponding values of y using the direct variation formula. Using these test …

Where k is the constant of proportionality. Example: y is directly proportional to x, and when x=3 then y=15. What is the constant of proportionality? They are directly proportional, so: Put in …

Station 1: The Graph of y= kx Observe the overall view of the graph, use the slider to change the value of k (noting quadrants and trends of the graph) and record all findings as responses to …

Find out how to recognize direct variation from its table representation and write an equation for it. Calculate direct variation's constant of proportionality which is the value of k from the equation …

Interpret the constant of proportionality as the slope of the linear relationship y = kx. Find the proportional relationship between x and y values to solve this set of pdf worksheets that …

In this Activity, you will vary k to see how the graph of y = kx changes. Step 1 Consider the family of curves y = kx. Examine the graph for various positive values of k. Describe, in terms of …