CIE iGCSE Maths E3.3 Gradient of linear graphs Exam Style Practice Questions- Paper 2
Question
Find the gradient of the line joining the points (-2,7) and (3,1).
▶️Answer/Explanation
$-\frac{6}{5} \, \text{oe}$
$
\text{Gradient (} m \text{)} = \frac{y_2 – y_1}{x_2 – x_1}
$
For the points (-2, 7) and (3, 1):
\((x_1, y_1) = (-2, 7)\)
\((x_2, y_2) = (3, 1)\)
$
m = \frac{1 – 7}{3 – (-2)}
$
$
= \frac{-6}{3 + 2}
$
$
= \frac{-6}{5}
$
Question
A line has gradient 5.
M and N are two points on this line.
M is the point (x, 8) and N is the point (k, 23).
Find an expression for x in terms of k.
x = ………………..
Answer/Explanation
Ans:
k – 3 or -3 + k
Question
Find the equation of the line passing through the points (0, –1) and (3, 5).
Answer/Explanation
Ans:
y = 2x − 1
Question
The point A has co-ordinates (–4, 6) and the point B has co-ordinates (7, –2).
Calculate the length of the line AB.
Answer/Explanation
Ans: 13.6 or 13.60…..