Foundation Check In Straight line graphs

Transcription

1 Foundation Check In Straight line graphs. Sketch the graph of = 3 5 on the grid The point (p, 0) lies on the line with equation = + 3. Write down the value of p. 3. Which of the following lines are parallel to 3 6 =? = + = + 9 = = + 3. A straight line has gradient and passes through the point (0, 5). Write down the equation of the line parallel to this line which passes through the point (-, -3). 5. What is the -intercept of the straight line that passes through the point (5, ) and cuts the -ais at? 6. Alison sas that the line = 0 is parallel to the line = 6. Eplain wh Alison is wrong. 7. The line with equation = a 5 passes through the point (6, 3). Show that the equation of the line is = A straight line passes through the points (, 8) and (5, ). Show that the -coordinate of the when = 3 is The line passing through the points (-, ) and (5, w) is parallel to 0 = 5. Find the value of w.

2 0. A regular heagon is drawn on a coordinate grid so that ever verte is the same distance from the origin. Two vertices are marked at (0, ) and (0, -). Find the equations of the si straight lines that would intersect to make this heagon. Etension Match up the following equations with their sketch graphs marking an - and -intercepts on the graphs. A: = 5 3 B: = 6 C: 3 = D: = 5 E: 6 3 = F: + =

3 Answers. 6 = Gradient = so the parallel lines are = + and = = 0 5. Gradient = 5 = = 3 so = 3 + c. Substituting one of the coordinates and solving gives c = The line = 0 has gradient whereas the line = 6 Parallel lines must have the same gradient so Alison is wrong. has gradient = a 5 When = 6 and = 3, 3 = a = 6a a = 3 therefore the equation is = = = 8. The gradient of the line is 5 so the equation of the line is = + c. If the line goes through (, 8), when =, = 8 so 8 = + c 9 = c The equation is = + 9 so when = 3, = = 9. w = 8

4 0. =, =, = +, =, = +, = Etension A: = 5 3 is graph B: = 6 is graph 5 C: 3 = is graph 3 (0, -3) and, 0 5 (0, -3) and (6, 0) (0, 5) and 5, 0 D: = 5 is graph 3 E: 6 3 = is graph 6 F: + = 5 is graph 5 (0, 5) and, 0 (0, 6) and (, 0) (0, 5) and (5, 0) =, =, = +, =, = +, = We d like to know our view on the resources we produce. B clicking on Like or Dislike ou can help us to ensure that our resources work for ou. When the template pops up please add additional comments if ou wish and then just click Send. Thank ou. If ou do not currentl offer this CR qualification but would like to do so, please complete the Epression of Interest Form which can be found here: nterest CR Resources: the small print CR s resources are provided to support the teaching of CR specifications, but in no wa constitute an endorsed teaching method that is required b the Board, and the decision to use them lies with the individual teacher. Whilst ever effort is made to ensure the accurac of the content, CR cannot be held responsible for an errors or omissions within these resources. We update our resources on a regularr basis, so please check the CR website to ensure ou have the most up to date version. This formative assessment resource has been produced as part of our free GCSE teaching and learning support package. All the GCSE teaching and learning resources, including deliver guides, topic eploration packs, lesson elements and more are available on the qualification webpages. If ou are looking for eamination practice materials, ou can find Sample Materials (SAMs) on the qualification webpage here. CR 06 - This resource ma be freel copied and distributed, as long as the CR logo and this message remain intact and CR is acknowledged as the originator of this work. CR acknowledges the use of the following content: n/a Please get in touch if ou want to discuss the accessibilit of resources we offer to support deliver of our qualifications: resources.feedback@ocr.org.uk

5 bjective Topic R A G bjective Topic R A G A Sketch an equation of a straight line A Find the intercept of a straight line using = m + c A Find the intercept of a A 3 Identif equations of parallel lines A A 5 Find the -intercept of a straight line that passes through A 6 Appl knowledge of equations of parallel lines A 7 A 8 A3 9 Find the equation of a straight line using = m + c and a Find a -coordinate of a point on a straight line that passes through that passes through A Sketch an equation of a straight line A 3 Identif equations of parallel lines A A 5 Find the -intercept of a straight line that passes through A 6 Appl knowledge of equations of parallel lines A 7 A 8 A3 9 straight line using = m + c Find the equation of a straight line using = m + c and a Find a -coordinate of a point on a straight line that passes through that passes through A3 0 Solve a geometric problem b identifing equations of lines A3 0 Solve a geometric problem b identifing equations of lines bjective Topic R A G bjective Topic R A G A Sketch an equation of a straight line A Find the intercept of a straight line using = m + c A Find the intercept of a straight line using = m + c A 3 Identif equations of parallel lines A A 5 Find the -intercept of a straight line that passes through A 6 Appl knowledge of equations of parallel lines A 7 A 8 A3 9 Find the equation of a straight line using = m + c and a Find a -coordinate of a point on a straight line that passes through that passes through A Sketch an equation of a straight line A 3 Identif equations of parallel lines A A 5 Find the -intercept of a straight line that passes through A 6 Appl knowledge of equations of parallel lines A 7 A 8 A3 9 Find the equation of a straight line using = m + c and a Find a -coordinate of a point on a straight line that passes through that passes through A3 0 Solve a geometric problem b identifing equations of lines A3 0 Solve a geometric problem b identifing equations of lines