Essential Question: What do you need to know in order to write the equation of a line in slope-intercept form?

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Presentation transcript:

Essential Question: What do you need to know in order to write the equation of a line in slope-intercept form?

 A. Linear Equation – an equation that models a linear function. In a linear equation, the variables cannot be raised to a power other than 1.  B. Slope – The slope of a line is the ratio of the vertical change in the coordinate plane to the corresponding horizontal change. The slope of a line is represented with the variable m.  C. y-intercept - the y-coordinate of a point where the graph crosses the y-axis. (0, y). The y-intercept of a line is represented with the variable b.

 Complete the Key Concept Chart Using what you know  What is the equation of the line? Which variable represents the slope? Which variable represents the y-intercept? (If you’re not sure look at your vocabulary)

 What do you expect the slope to be from the graph? The slope will be positive/negative because…..  Use the points (0, 2) and (2,0) to find the slope of the line or you can use rise over run.  Fill in what the slope is and what the y-intercept is. (Remember the y-intercept is the y-coordinate of the point where the line crosses the y-axis.)  Now write the equation of the line plugging the slope and the y-intercept into the equation y=mx+b  Reasoning….think about it…does the slope change if you choose different points or does it stay the same?

 1. Find the slope. Use the two points to find the slope of the line  2. Find the y-intercept. Substituting the slope for the m and the coordinates of one of the points for x and y. Then solve for b.  3. Write the equation in slope-intercept form. Substitute the slope for m and the y-intercept for b.  Try the example given on your own. We will do more together in class tomorrow!