Year 8 Linear Graphs Revision PDF

**[YEAR 8 -- LINEAR GRAPHS REVISION]** **I can fill in a table of values and sketch a graph** For the rule [*y* = *x* + 2]{.math.inline}, complete the following table of values and then plot and draw a graph on the axes provided. Please label axes intercepts in coordinate form. ![](media/image2.p...

**[YEAR 8 -- LINEAR GRAPHS REVISION]** **I can fill in a table of values and sketch a graph** For the rule [*y* = *x* + 2]{.math.inline}, complete the following table of values and then plot and draw a graph on the axes provided. Please label axes intercepts in coordinate form.  basic shape -- gradient -- y intercept -- x intercept - For the rule [*y* = 2*x* − 2]{.math.inline}, fill in the table, sketch the graph on the axes provided. Please label axes intercepts in coordinate form.  basic shape -- gradient -- y intercept -- x intercept - For the rule [*y* =  − 2*x* + 1]{.math.inline}, fill in the table, sketch the graph on the axes provided. Please label axes intercepts in coordinate form.  basic shape -- gradient -- y intercept -- x intercept - **I can plot points to graph a straight line** On the number plane provided below, plot and label the following points. -- -- Label the coordinates on the number plane for each of the letters below. Chart, scatter chart Description automatically generated **I can determine the equation of a straight line from a table of values** For each of the following tables, find the equation of the straight line (Find gradient and y intercept first)  Table Description automatically generated with low confidence  **I can state the gradient and *y*-intercept** State the gradient and *y*-intercept for the graphs of these rules. \ [*y* = 5*x* − 2]{.math.display}\ gradient = y-intercept = \ [*y* =  − 4*x*]{.math.display}\ gradient = y-intercept = \ [\$\$y = \\frac{1}{2}x + 7\$\$]{.math.display}\ gradient = y-intercept = **I can determine the equation of a line from a graph** Determine the rule for each graph below. a.  b) c\) d) -- ------------------------  -- ------------------------ **I can graph horizontal and vertical lines** Sketch the equations on the same set of axes below. Please label axes intercepts in coordinate form. a. [*x* = 2]{.math.inline} b. [*x* =  − 3]{.math.inline} c. [*y* =  − 2]{.math.inline} d. [*y* = 3]{.math.inline} **I can find the gradient of a line** State the gradient for each linear graph. Also state if the gradient is positive, negative, zero or undefined. a.  b) c\) d) ------------------------ --  ------------------------ -- **I can determine if a point is on a line** Does the following coordinates lie of on the line [*y* = 2*x* − 4]{.math.inline} a. [(0, 4)]{.math.inline} b. [( − 2,  − 8)]{.math.inline} **I can rearrange linear equations** Rearrange the following linear equations into [*y* = *mx* + *c*]{.math.inline} \ [ 2*y* = 8*x* − 4]{.math.display}\ \ [ *x* + *y* =  − 2]{.math.display}\ \ [ − 6*x* + 2*y* = 10]{.math.display}\ **I can sketch linear graphs by finding the x intercept and y intercept.** Sketch 2*x* + 2*y* = 10 on the axes below, by finding the *x*- and *y*-intercepts.  Sketch [2*y* = 4*x* − 8]{.math.inline} on the axes below, by finding the *x*- and *y*-intercepts. **I can interpret worded questions** Hamish walks home from school every afternoon. His house is 560 metres away from the school. Hamish calculates his average walking speed to be 70 m/min. a. Complete the following table of values using *t* for time in minutes after leaving the school and *d* for the distance between Hamish and his home. ----- ----- -- -- -- -- -- -- -- -- *t* 0 *d* 560 ----- ----- -- -- -- -- -- -- -- -- b. Draw a graph using the points from your table, using *t* on the horizontal axis.  c. How long does it take Hamish to walk home from school? d. What is the gradient of the line drawn in the part *b*? e. Find a rule linking *d* with *t.* f. Use your rule to find how far Hamish is from home when he has been walking for 90 seconds. g. Use your rule to find how long Hamish has been walking for if he is 315 m away from home.