Moderate -0.8 This is a straightforward application of perpendicular gradients (negative reciprocal) and point-slope form. It requires only two standard steps: finding the perpendicular gradient (-1/5) and using y - y₁ = m(x - x₁), making it easier than average but not trivial since it involves fraction manipulation.
Find the equation of the line which is perpendicular to the line \(y = 5x + 2\) and which passes through the point \((1, 6)\). Give your answer in the form \(y = ax + b\). [3]
Question 9:
9 | grad = 1/5 oe
y 6 = their m (x 1) or
6 = their m [× 1] + c
y = 0.2x + 6.2 oe isw | M1
M1
A1
[3] | terms collected, with y as subject
or for a = 0.2, b = 6.2 oe | 1
allow embedded eg 5 1
5
if first M1 not earned, allow second
M1 for y 6 = k(x 1) oe, k any
number except 0 and 1
allow A1 for c = 6.2 oe if y = 0.2x + c
oe already seen
x31
condoney for A1
5
Find the equation of the line which is perpendicular to the line $y = 5x + 2$ and which passes through the point $(1, 6)$. Give your answer in the form $y = ax + b$. [3]
\hfill \mbox{\textit{OCR MEI C1 Q9 [3]}}