Graphs - JSS2 Mathematics Past Questions and Answers - page 1

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).

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2

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.

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3

Create a table of values for the equation 𝑦=3π‘₯βˆ’2 for π‘₯=βˆ’2,βˆ’1,0,1,2

π‘₯π‘¦βˆ’2𝑦=3(βˆ’2)βˆ’2

 

y=3(βˆ’2)βˆ’2=βˆ’8

y=3(βˆ’1)βˆ’2=βˆ’5

y=3(0)βˆ’2=βˆ’2

y=3(1)βˆ’2=1

y=3(2)βˆ’2=4

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4

Plot the graph of 𝑦=π‘₯+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).

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5

What is the slope and y-intercept of the line 𝑦=4π‘₯βˆ’1?

The equation is in the form 

𝑦=π‘šπ‘₯+𝑏, where 

π‘š is the slope and 

𝑏 is the y-intercept.

Slope π‘š=4, y-intercept 𝑏=βˆ’1.

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6

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=2π‘₯+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

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7

Solve the inequality 3π‘₯+4≀16

3π‘₯+4≀16

3π‘₯≀12

π‘₯≀4

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8

Finding Coordinates from an Equation

Problem: For the equation 𝑦=2π‘₯+3, find the coordinates when π‘₯=1.

Substitute π‘₯=1:

𝑦=2(1)+3

=5

The coordinates are (1, 5).

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