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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.
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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.
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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].
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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.
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