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Algebra Module 3 DBA

Terms in this set (12)

•Slope is the "rise over run."
•Slope is the ratio of the vertical change to the horizontal change between two points.
•Given the line graphed on a coordinate plane, you find any two points on the line and count the rise (up or down) and the run (side to side) between the two points. Start with the point on the left. If you have to go up, your rise is positive. If you have to go down, your rise is negative. Since you always go to the right, your run will always be positive.
•To graph a line using its x- and y- intercepts: •Find the x-intercept: replace y with the number zero and solve for x.
•Find the y-intercept: replace x with the number zero and solve for y.
•Plot both intercepts on the coordinate plane, and then connect them to draw the graph.
Remember that the x-intercept can be written as an ordered pair where y is zero. The y-intercept can be written as an ordered pair where x is zero.

(2, 0) x-intercept

(0, −3) y-intercept
•To graph a line using the slope-intercept form: •Manipulate the equation into slope-intercept form, y = mx + b.
•Identify and plot the y-intercept of the line. Remember, the y-intercept is b. Don't forget: The sign goes with the number.
•Identify and use the slope of the line to find a second point. Remember, the slope is m. Don't forget: Starting at the y-intercept, the numerator tells you the rise (count up if positive and down if negative), the denominator tells you the run (count right.)
•Draw a straight line through the two points to complete the graph.