Geometry · Guided Practice

Gradient

8 questions with answers and video solutions. Try each one before revealing the answer.

Find the gradient of the straight line through

\displaystyle (-1,5)

and

\displaystyle (3,-7).

No hints on this one — its full written solution is with the answer.

Find the gradient of the straight line joining

\displaystyle (2,-5)

and

\displaystyle (-2,-11).

No hints on this one — its full written solution is with the answer.

Determine the gradient of the straight line joining

\displaystyle (1,4)

and

\displaystyle (-6,4).

No hints on this one — its full written solution is with the answer.

Determine the gradient of the straight line joining

\displaystyle (-3,-4)

and

\displaystyle (-3,0).

No hints on this one — its full written solution is with the answer.

The vertices of a quadrilateral ABCD are A

\displaystyle (-2,5)\small,

\displaystyle (1,-7)\small,

\displaystyle (5,-2)\small,

and D

\displaystyle (7,-10)\small.

Prove that AB is parallel to CD.

No hints on this one — its full written solution is with the answer.

The gradient of the straight line through

\displaystyle (1,5)

and

\displaystyle (-2,p)

\displaystyle 4

Find the value of

\displaystyle p.

No hints on this one — its full written solution is with the answer.

The gradient of the straight line through

\displaystyle (1,a)

and

\displaystyle (a,-1)

\displaystyle 2

Determine the value of

\displaystyle a.

No hints on this one — its full written solution is with the answer.

2019 P2 Q13

3 Marks

Find an expression for the gradient of the line joining point A(6,9) to point B(4p,4p²).
Give your answer in its simplest form.

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