Why isn't the answer to TMUA-P1-MM3-005 shown upfront?

The options are lettered without marking the correct one so you attempt TMUA-P1-MM3-005 first — TMUA questions reward spotting the trap before you check the worked solution below.

Do I need a calculator for TMUA-P1-MM3-005?

No — calculators are banned in the TMUA. TMUA-P1-MM3-005 is set for a no-calculator target of about 180 seconds; the worked solution shows the fastest by-hand route.

Which TMUA specification point is TMUA-P1-MM3-005?

TMUA-P1-MM3-005 is Paper P1 · Coordinate geometry in the (x,y)-plane (specification code MM3), level 2. Drill more of the same topic from this page.

TMUA-P1-MM3-005 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

P1MM3Level 2~180s target

Spec: MM3 · No calculator · ~180s

Find the equation of the line through

(2, 5)

parallel to

y = 4x - 1

Options

$y = 4x + 5$
$y = 4x - 3$
$y = 4x + 3$
$y = \dfrac{1}{4}x - 3$
$y = -4x + 13$

Letters only — the answer key is hidden. Work it out, then check the solution below.

Hint (check trope)

No written hint yet — check the trope: parallel-lines, intercept-slip. Name the trap first, work the stem by hand, then open the solution below.

Show solution

Parallel lines share gradient

4

y - 5 = 4(x - 2)

gives

y = 4x - 3

. Trap:

y = 4x + 5

keeps the point's

y

-value as the intercept — plausible if you substitute the gradient but skip the line equation.

Keep practising

Same topic · same level
P1MM3Level 2
TMUA-P1-MM3-001
In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-001 →
Step up a level
P1MM3Level 3
TMUA-P1-MM3-010
The line y = x + 1 crosses the circle x^2 + y^2 = 25 at two points. What is the length of the chord joining them?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-010 →
More in this topic
P1MM3Level 2
TMUA-P1-MM3-006
The circle x^2 + y^2 - 6x + 4y - 3 = 0 has radius r. What is r?
Coordinate geometry in the (x,y)-plane
Open TMUA-P1-MM3-006 →

Browse more

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Keep practising

Same topic · same level

P1MM3Level 2

TMUA-P1-MM3-001

In an arithmetic sequence the 3rd term is 11 and the 8th term is 31. What is the first term?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-001 →

Step up a level

P1MM3Level 3

TMUA-P1-MM3-010

The line y = x + 1 crosses the circle x^2 + y^2 = 25 at two points. What is the length of the chord joining them?

Coordinate geometry in the (x,y)-plane

Open TMUA-P1-MM3-010 →

TMUA-P1-MM3-005 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane

TMUA-P1-MM3-005 — Paper P1 · Coordinate geometry in the (x,y)-plane · Level 2

Options

Keep practising

Master Coordinate geometry in the (x,y)-plane