One step is identifying the problem and defining specifications and constraints. Slopes of parallel and perpendicular lines Video transcript We're asked what is the equation of line B? Page 50 Share Cite Suggested Citation: Is your graph rising from left to right?

Often, they develop a model or hypothesis that leads to new questions to investigate or alternative explanations to consider. Students may then recognize that science and engineering can contribute to meeting many of the major challenges that confront society today, such as generating sufficient energy, preventing and treating disease, maintaining supplies of fresh water and food, and addressing climate change.

Between and within these two spheres of activity is the practice of evaluation, represented by the middle space. I just know that this is on the point, so this point must satisfy the equation of line B. We know that y is equal to negative 7 when x is equal to 6. In other cases, however, they are considered separately.

The activities related to developing explanations and solutions are shown at the right of the figure.

You can also check your equation by analyzing the graph. Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information.

We say that the variable y varies directly as x. The National Academies Press. Moreover, the aim of science is to find a single coherent and comprehensive theory for a range of related phenomena.

And its y-intercept we just figured out is negative 4. Using the intercepts to graph an equation is called the intercept method of graphing. Traditionally, K science education has paid little attention to the role of critique in science.

Both scientists and engineers use their models—including sketches, diagrams, mathematical relationships, simulations, and physical models—to make predictions about the likely behavior of a system, and they then collect data to evaluate the predictions and possibly revise the models as a result.

Practices, Crosscutting Concepts, and Core Ideas. Yet another step is the testing of potential solutions through the building and testing of physical or mathematical models and prototypes, all of which provide valuable data that cannot be obtained in any other way.A beautiful, free online graphing calculator from calgaryrefugeehealth.com Write the equation for a line that has a slope of -2 and y-intercept of 5.

NOTES: I substituted the value for the slope (-2) for m and the value for the y-intercept (5) for b. The variables x and y should always remain variables when writing a linear equation.

Finding point-slope equation from features or graph Example 1: Equation from slope and point Suppose we want to find the equation of the line that passes through (1, 5) (\blueD1,\greenD5) (1, 5) and whose slope is − 2 \maroonC{-2} − 2.

Oct 22, · Equation parallel to slope intercept of a line? I am supposed to write a slope - intercept equation of the line whose graph is parallel to y=2x - Status: Resolved. Method 1: Using Slope Intercept Form.

What is the equation of line parallel to y = 3x + 5 and through the point (1, 7)?. Many students are more comfortable using slope intercept form but this kind of problem is actually much easier, using point slope form (which is right below this work).

Step 1. Substitute the slope from original line (3 in this case). A linear function is of the form y = mx + b In the applet below, move the sliders on the right to change the values of coefficients m and b and note the effects it has on the graph.

DownloadWrite a slope-intercept equation of the line whose graph is parallel

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