Content
Access custom-built, exam-style problems for cartesian plane & lines. Each problem has a full solution and mark-scheme, as well as AI grading and support.
Ask Plex AI about problem 1
Get hints, ask questions, and work through this problem step by step
Select a Difficulty:
8 / 37 problems visible - Upgrade to view all problems
!
0 / 5
The line L passes through the points P(1,2) and Q(5,−2).
Find the slope of L.
Determine an equation for L in the form y=mx+c.
Find the midpoint of [PQ].
!
0 / 5
The line L1 passes through the points A(1,−2) and B(1,3).
Write down the equation of L1.
A second line, L2, is perpendicular to L1 and passes through C(−4,5).
Find the equation of L2 in the form y=mx+c.
The point P lies on L1, and the point Q lies on L1 and L2.
Given that P is equidistant from A and Q, find the coordinates of P.
!
0 / 6
The point U has coordinates (6,−3) and the point V has coordinates (−2,7). The point W has coordinates (1,−1).
Write down the coordinates of X, the midpoint of line segment UV.
Find the gradient of the line WX.
Find the equation of WX. Write your answer in the form
where a,b,d∈Z.
0 / 4
The function h(x)=2x+5 models the cost (in dollars) of renting a scooter for x hours.
Write down the cost of renting the scooter for 3 hours.
Solve h(x)=15.
State the gradient of the function and explain what it represents in this context.
!
0 / 6
0 / 4
0 / 5
0 / 8