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Write an equation in slope-intercept form for each line shown and described

The average distance value is given in astronomical units where 1 a. The orbital period is given in units of earth-years where 1 earth year is the time required for the earth to orbit the sun - 3. Kepler's third law provides an accurate description of the period and distance for a planet's orbits about the sun. In the next part of Lesson 4these principles will be investigated as we draw a connection between the circular motion principles discussed in Lesson 1 and the motion of a satellite.

Let's first quickly review slope intercept form.

Equations that are written in slope intercept form are the easiest to graph and easiest to write given the proper information. All you need to know is the slope rate and the y-intercept.

Continue reading for a couple of examples! Writing an Equation Given the Slope and Y-Intercept Write the equation for a line that has a slope of -2 and y-intercept of 5. 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.

In the example above, you were given the slope and y-intercept.

Now let's look at a graph and write an equation based on the linear graph. Locate another point that lies on the line. Calculate the slope from the y-intercept to the second point.

Write an equation in slope intercept form given the slope and y-intercept. You can also check your equation by analyzing the graph. You have a positive slope. Is your graph rising from left to right?

Yes, it is rising; therefore, your slope should be positive! We've now seen an example of a problem where you are given the slope and y-intercept Example 1. Example 2 demonstrates how to write an equation based on a graph.

Let's look at one more example where we are given a real world problem. How do we write an equation for a real world problem in slope intercept form?

What will we look for in the problem? Real World Problems When you have a real world problem, there are two things that you want to look for!

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. Write an equation in slope -intercept form for the line described. slope , passes through (0, 5) 62/87,21 Substitute m = and (x, y) = (0, 5) in the equation y. Write an equation of a line in slope-intercept form with the given slope and y-intercept. 62/87,21 The slope-intercept form of a line is y = mx + b, where m is the slope, and b is the y -intercept.

The rate is your slope in the problem. The following are examples of a rate:The Slope intercept form of an linear equation is Y=mx+b The 'm' in this equation is the slope The 'b' is the Y intercept meaning when it touches the Y axis5/5(2). Standards Alignment DreamBox Learning® Math for grades K-8 provides the depth and rigor required by Common Core, state, and Canadian standards.

Write an equation in slope -intercept form for the line described. slope , passes through (0, 5) 62/87,21 Substitute m = and (x, y) = (0, 5) in the equation y.

Dec 04, · attheheels.com - How to Write a Slope Intercept Equation for a Line on a Graph. For more practice and to create math worksheets, visit Davitily. You can put this solution on YOUR website!

Write the slope intercept form of the equation of the line described. through: (-4,0), parallel to y=3x/ Step 1. We can find the slope by recognizing that parallel lines have the same slope.

Write an equation in slope -intercept form of the Write an equation in slope -intercept form for each line shown or described. x-intercept = 3, y-intercept = ±2 Write an equation in slope -intercept form for each line shown or described. x-intercept = 3, y-intercept = ±2.

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Kepler's Three Laws