OCR MEI C1 2008 January — Question 5 5 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Year2008
SessionJanuary
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicStraight Lines & Coordinate Geometry
TypeParallel line through point
DifficultyEasy -1.2 This is a straightforward two-part question testing basic coordinate geometry: rearranging to find gradient (or using -A/B), then using the parallel line condition (same gradient) and y-intercept form to find an x-intercept. Both parts are routine recall and application of standard techniques with minimal problem-solving required.
Spec1.03a Straight lines: equation forms y=mx+c, ax+by+c=01.03b Straight lines: parallel and perpendicular relationships

5
  1. Find the gradient of the line \(4 x + 5 y = 24\).
  2. A line parallel to \(4 x + 5 y = 24\) passes through the point \(( 0,12 )\). Find the coordinates of its point of intersection with the \(x\)-axis.

5 (i) Find the gradient of the line $4 x + 5 y = 24$.\\
(ii) A line parallel to $4 x + 5 y = 24$ passes through the point $( 0,12 )$. Find the coordinates of its point of intersection with the $x$-axis.

\hfill \mbox{\textit{OCR MEI C1 2008 Q5 [5]}}