8MM Linear Relationships

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Answer explanation

Both pronumerals have a power of 1, therefore my graph will represent a straight line.

• x = -3

• x = 3

• y = -3

• y = 3

Answer explanation

The line is just crossing 3 on the y-axis (not hitting the x-axis at all). Therefore the equation is y = 3

• 9

• 5

• 12
• 10

Answer explanation

y = 3 x 4 - 2
y = 12 - 2
y = 10

• -3

• 8

Answer explanation

y = mx + c where c is the y-intercept, therefore for y = -3x + 8, c = 8

Which one of the following points lie on the x-axis?

• (2, 5)

• (2, -5)

• (0, 7)

• (7, 0)

Answer explanation

If the y-coordinate is 0, then that point lies on the x-axis

Answer explanation

Your linear equation is y = -3x/2 + 3. Rearrange each of the 4 options so that y is the subject and see which one matches our equation.
E.g.,
3x - 2y + 6 = 0
3x + 6 = 2y
2y = 3x + 6
y = 3x/2 + 3
So this is not the equation of our line.

The point (0, -3) lies on which line?

Answer explanation

Substitute x = 0 and y = -3 in and see which equation makes sense.
E.g.,
4x + 5y = 15
4 x 0 + 5 x -3 = 15
-15 =/= 15
So this does not work for this option.

• (0, 3)
• (3, 0)
• (1, 0)

• (0, 1)

What is the equation of a line with a y-intercept of 3 and an x-intercept of -1?

• y = -x - 1

• y = 3x - 1
• y = 3x + 3
• y = -x + 3

Answer explanation

y-intercept: (0, 3) i.e., c = 3
x-intercept: (-1, 0)

m = y2-y2/x2-x1
m = 3 - 0 / 0 -(-1)
m = 3/1
m = 3

Therefore, y = 3x + 3

The coordinates of the point of intersection of the lines x = 2 and y = -7 are:

• (2, 7)
• (7, -2)

• (2, -7)
• (7, 2)

Answer explanation

Since x = 2 and y = -7 are both straight lines, when they intersect it'll occur at (2, -7)