Graphs - JSS2 Mathematics Past Questions and Answers - page 1
What are the coordinates of a point that is 4 units to the left of the origin and 3 units up?
Move 4 units left on the x-axis (x = -4), then move 3 units up on the y-axis (y = 3).
Plot the point (2, -5) on the Cartesian plane. What quadrant is it in?
Move 2 units right on the x-axis and 5 units down on the y-axis.
It is in the fourth quadrant.
Create a table of values for the equation 𝑦=3𝑥−2 for 𝑥=−2,−1,0,1,2
𝑥𝑦−2𝑦=3(−2)−2
y=3(−2)−2=−8
y=3(−1)−2=−5
y=3(0)−2=−2
y=3(1)−2=1
y=3(2)−2=4
Plot the graph of 𝑦=𝑥+2 using the points (-2, 0), (-1, 1), (0, 2), (1, 3), (2, 4).
Plot each point and draw a line through them.
The graph is a straight line passing through the points (-2, 0), (-1, 1), (0, 2), (1, 3), (2, 4).
What is the slope and y-intercept of the line 𝑦=4𝑥−1?
The equation is in the form
𝑦=𝑚𝑥+𝑏, where
𝑚 is the slope and
𝑏 is the y-intercept.
Slope 𝑚=4, y-intercept 𝑏=−1.
A taxi charges a base fare of $5 plus $2 per mile. Write the equation and create a table for up to 5 miles.
Equation: 𝑦=2𝑥+5.
y
y=2(0)+5=5
y=2(1)+5=7
y=2(2)+5=9
y=2(3)+5=11
y=2(4)+5=13
y=2(5)+5=15
Finding Coordinates from an Equation
Problem: For the equation 𝑦=2𝑥+3, find the coordinates when 𝑥=1.
Substitute 𝑥=1:
𝑦=2(1)+3
=5
The coordinates are (1, 5).