EXPLAIN 2 Graphing Linear Functions Given in Standard Fo Read the section below and complete the following activity (adapted from Lesson 5.1). Graphing in Standard Form e graph of a linear equation is a line To granh a line, t is necessary to plot only two points. However, it is a o nltea to plot a third point as a check For linear equations written in standard form, two very useful points piot are where the line crosses each axis The r-coordinate of the point where the line crosses the x-axis is caned the x-intercept and is found by substituting 0 for y in the equation of the line. The y-coordinate of the pomt where the line crosses the y-axis is called the v-intercept and is found by substituting 0 for x in the equation of the line. Example Graph 3x+ 5y = 15 Step 1- Make a table of values. Each row in the table of values makes an ordered pair (x, y). Step 2 - Substitute 0 for x in the equation and solve for y. 3(0) + 5y = 15 5y = 15 y y = 3 (0, 3) satisfies the equation Step 4 - Choose another value for x and solve for y. Choose convenient values if possible such as Step 3 - Next substitute 0 for y in the equation and solve for x. -5 in this case. 3x + 5(0) = 15 3(-5) +5y = 15 -15 +5y = 15 5y = 15 + 15 5y = 30 y = 6 3x = 15 x = 5 (5,0) satisfies the equation (-5, 6) satisfies the equation ep 5 - Plot the first two points on the coordinate grid. Then plot the third point. All three points should lie on a straight line. Draw a line through the points. (0, 3), (5,0), (-5, 6) 9. 5' 4- 3 2. 3 4 -6 -5 -4 -3-2 -10 -1 -2 -3 -4' -5- -6-

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Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.