Linear functions and graphsIB MYP Maths Extended: Mind map

Exam questions on Linear functions and graphs

1. A straight line has equation $y=-2x+6$.
   The line, the $x$-axis and the $y$-axis form a triangle. Find the area of this triangle.2 marks
2. A straight line passes through the points $A(1,3)$ and $B(5,11)$.
   Determine whether the point $C(10,20)$ lies on the line $AB$.2 marks
3. A swimming pool is being filled at a constant rate. After 2 minutes it holds 150 litres of water, and after 6 minutes it holds 450 litres. The volume $V$ litres after $t$ minutes follows a linear relationship.
   Find the gradient of the line and hence write down the equation for $V$ in terms of $t$.3 marks