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SL 2.1—Equations of straight lines, parallel and perpendicular

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Topic 2—Functions » SL 2.1—Equations of straight lines, parallel and perpendicular

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Directly related questions

21M.2.AHL.TZ1.4a:
Find the equation of the line passing through these two points.
21N.1.SL.TZ0.4a:
Find the gradient of the line through $A$ $A$ and $C$ $C$ .
21N.1.SL.TZ0.4b:
Write down the gradient of the line through $B$ $B$ and $D$ $D$ .
21N.1.SL.TZ0.4c:
Find the equation of the line through $B$ $B$ and $D$ $D$ . Give your answer in the form $a x + b y + d = 0$ $a x + b y + d = 0$ , where $a, b$ $a, b$ and $d$ $d$ are integers.
21N.1.SL.TZ0.4d:
Write down the $x$ $x$ -coordinate of point $D$ $D$ .
22M.1.SL.TZ1.4b:
Town $C$ $C$ is due north of town $A$ $A$ and the road passes through town $C$ $C$ .

Find the $y$ $y$ -coordinate of town $C$ $C$ .
22M.1.SL.TZ1.4a:
Find the equation of the line that the road follows.
22M.1.SL.TZ2.11c:
Determine the number of lines parallel to $L$ $L$ that are tangent to $f (x)$ $f (x)$ . Justify your answer.
22M.2.AHL.TZ2.4d:
Find the equation of the regression line for $ln k$ $\ln k$ on $\frac{1}{T}$ $\frac{1}{T}$ .
22M.2.AHL.TZ2.4c:
(i) the gradient of this line in terms of $c$ $c$ ;

(ii) the $y$ $y$ -intercept of this line in terms of $A$ $A$ .
17N.1.SL.TZ0.T_2c.ii:
Write down, in the form $y = m x + c$ $y = mx + c$ , the equation of $L_{2}$ ${L_2}$ .
18M.1.SL.TZ2.T_5a.i:
Calculate the amount of money he has in the account after 5 years.
18M.1.SL.TZ2.T_5a.ii:
Write down the amount of interest he earned after 5 years.
18M.1.SL.TZ2.T_5b:
Karl decides to donate this interest to a charity in France. The charity receives 170 euros (EUR). The exchange rate is 1 USD = t EUR.

Calculate the value of t.
17M.1.SL.TZ2.T_4a:
Find the gradient of $L$ $L$ .
17M.1.SL.TZ2.T_4b:
Find the equation of $L$ $L$ in the form $y = m x + c$ $y = mx + c$ .
17M.1.SL.TZ2.T_4c:
Find the $x$ $x$ -coordinate of point A.
18N.2.SL.TZ0.T_4a:
Sketch the graph of y = f (x), for −4 ≤ x ≤ 3 and −50 ≤ y ≤ 100.
18N.2.SL.TZ0.T_4b.i:
Use your graphic display calculator to find the zero of f (x).
18N.2.SL.TZ0.T_4b.ii:
Use your graphic display calculator to find the coordinates of the local minimum point.
18N.2.SL.TZ0.T_4b.iii:
Use your graphic display calculator to find the equation of the tangent to the graph of y = f (x) at the point (–2, 38.75).

Give your answer in the form y = mx + c.
19N.2.SL.TZ0.T_2a:
Find the gradient of $L_{1}$ $L_{1}$ .
19N.2.SL.TZ0.T_2b:
Find the coordinates of point $C$ $C$ .
19N.2.SL.TZ0.T_2c:
Find the equation of $L_{2}$ $L_{2}$ . Give your answer in the form $a x + b y + d = 0$ $a x + b y + d = 0$ , where $a, b, d \in ℤ$ .
19N.2.SL.TZ0.T_2d:
Find the value of $k$ .
19N.2.SL.TZ0.T_2e:
Find the distance between points $M$ and $N$ .
19N.2.SL.TZ0.T_2f:
Given that the length of $AM$ is $\sqrt{45}$ , find the area of triangle $ANC$ .

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