Easy -1.2 This is a straightforward C1 question requiring only basic recall: parallel lines have equal gradients (m=4), then substitute the point into y-mx=c to find the intercept, followed by routine calculation of axis intercepts. No problem-solving or conceptual challenge involved.
A line \(L\) is parallel to \(y = 4x + 5\) and passes through the point \((-1, 6)\). Find the equation of the line \(L\) in the form \(y = ax + b\). Find also the coordinates of its intersections with the axes. [5]
Question 1:
1 | y = 4x + 10
(0, 10) or ft
(10/4, 0) oe or ft | B3
B1
B1
[5] | M1 for y = 4x + b oe
and M1 for y 6 = their a (x + 1) oe
or for (1, 6) subst in y = (their a)x + b oe
or M1 for y = ax + 10
condone y = 10 isw
condone x = 10/4 isw | condone lack of brackets and eg
y = 10, x = 2.5 or ft isw
but B0, SC1 for poor notation such as
(2.5, 10) with no better answers seen
Throughout the scheme, note that for
evaluated rational answers, unless
specified otherwise, fractional or
decimal equivalents are acceptable, but
not triple-decker fractions etc; integer
answers must be simplified to an
integer
A line $L$ is parallel to $y = 4x + 5$ and passes through the point $(-1, 6)$. Find the equation of the line $L$ in the form $y = ax + b$. Find also the coordinates of its intersections with the axes. [5]
\hfill \mbox{\textit{OCR MEI C1 Q1 [5]}}