Project 5: Graphing For each graph in one dimension (on the number line), give its equation and then graph it on the coordinate plane. For each graph given in two dimensions (on the coordinate plane), give its equation and then graph it on the number line: Original graph Equation New graph Which of the following equations are in slope‐intercept form, and which are not? Circle each one that is in slope‐
intercept form, and cross out any that are not in slope‐intercept form. 5 1.
2.
3.
4.
5. 2
6.
7. 2
8.
2
3
5 0 3
5 2
3 3
6 0.5
2.6 For each of the following lines, describe the slope, without doing any calculations: Graph Slope positive negative, zero, or undefined? Slope has magnitude less than one or greater than one? Pick two points on the line: Calculate the slope from these two points: For each of the following pairs of points, first graph the two points, then use the two points to determine information about the slope, and then finally calculate the slope: Points: 1,2 ,
1, 4 2, 3 ,
3, 1 4, 2 ,
Graph the two points: Slope positive or negative (or zero, or undefined)? 1, 4 2, 3 ,
2, 5 2, 3 ,
1, 3 2, 1 , 1, 4 Slope has magnitude less than one or greater than one? Calculate the slope from these two points: For each of the following graphs, identify the slope and the intercept, and then write the equation in slope‐intercept form: Graph Pick two points on the line: Calculate the slope from these two points: Identify the y‐
intercept: Write the equation for the line in slope‐
intercept form: Slope has magnitude less than one or greater than one? Slope positive or negative (or zero, or undefined)? For each of the following graphs, identify the slope and the intercept, and then write the equation in slope‐intercept form: Equation of the line: 2
1 3 3 2
1
2
2 2 1
3
2
3
y‐intercept: Slope: Slope has magnitude less than one or greater than one? Slope positive or negative (or zero, or undefined)? Graph