Chapter 10 Straight lines and quadratic equations L
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Chapter 10 Straight lines and quadratic equations
L 1: STRAIGHT LINES USING EQUATIONS TO PLOT LINES LO 1: construct a table of values and plot points to draw graphs Theory: STEPS to draw a graph from its equation: 1. Draw up a table of values and fill in the x- and y-co-ordinates of at least three points (although you may be given more) 2. Draw up and label your set of axes fort he range of y-values you have worked out 3. Plot each point on a number line 4. Draw a straight line to join the points (use a ruler) Ch 10: Straight lines and quadratic equations 2
L 1: STRAIGHT LINES USING EQUATIONS TO PLOT LINES LO 1: construct a table of values and plot points to draw graphs Practice: Make a table for x-values from -3 to 3. For the equation y=3 x+1∕ 2, plot the co-ordinates And draw the graph. Ch 10: Straight lines and quadratic equations 3
L 1: STRAIGHT LINES USING EQUATIONS TO PLOT LINES LO 1: construct a table of values and plot points to draw graphs Practice: Draw up a table of x-values from -3, 0, 3. Complete the table of values and plot the graphs of y= x+2 , y= -x+2 , y= x-2 , y= -x-2 on the same set of axes. Where do the graphs cut the x-axis? Which graphs slope up to the right? Which graphs cut the y-axis at (0, -2)? Does the point (3, 3) lie on any of the graphs? If so, which? Which graphs are parallel to each other? Compare the equations of graphs that are parallel to each other. How are they similar? How are they different? Ch 10: Straight lines and quadratic equations 4
L 1: STRAIGHT LINES USING EQUATIONS TO PLOT LINES LO 1: construct a table of values and plot points to draw graphs Practice: Draw up a table of x-values from -3, 0, 3. Complete the table of values and plot the graphs of y= -1 -x , y= 6 -x , x-y= 2 , x+2 y= 4 on the same set of axes. Compare the equations of graphs that are parallel to each other. How are they similar? How are they different? Find the steepness of each line: How much each line moves up (down) for every one unit moved to the right? Ch 10: Straight lines and quadratic equations 5
L 1: STRAIGHT LINES USING EQUATIONS TO PLOT LINES, GRADIENT LO 2: find the gradient of a straight line graph Practice: Draw up a table of x-values from -3, 0, 3. Complete the table of values and plot the graphs of y= -1 -x , y= 6 -x , x-y= 2 , x+2 y= 4 on the same set of axes. Compare the equations of graphs that are parallel to each other. How are they similar? How are they different? Find the steepness of each line: How much each line moves up (down) for every one unit moved to the right? Ch 10: Straight lines and quadratic equations 6
L 1: STRAIGHT LINES GRADIENT LO 2: find the gradient of a straight line graph Practice: Write down the gradient of each line shown in the diagram: Ch 10: Straight lines and quadratic equations 7
L 1: STRAIGHT LINES GRADIENT LO 2: find the gradient of a straight line graph Practice: Draw the following graphs on the same set of axes without plotting points or drawing up a table of values. Name the graphs (a) to (h). (a) y= 3 (b) x= 3 (c) y= -1 (d) x= -1 (e) y= -3 (f) x= -7/2 (g) A graph parallel to the x-axis which intersects the y-axis at (0, -2) (h) A graph parallel to the y-axis which intersects the x-axis at (4, 0) Ch 10: Straight lines and quadratic equations 8