Linear functions and graphsIB MYP Maths Extended: Flashcards

What these 12 flashcards ask

What is the equation of a straight line in gradient-intercept form?
In y=mx+c, what does m represent?
In y=mx+c, what does c represent?
What is the gradient formula?
Gradient between (1,3) and (5,11)?
What does a negative gradient look like?
How do you find the x-intercept?
How do you find the y-intercept?
Find the equation with gradient 4 through (0,-3).
How do you find the equation of a line through two points?
How do you check if a point lies on a line?
What does the gradient mean in a real-life graph?

Exam questions on Linear functions and graphs

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
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
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

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).