Linear Equations

Find the equation of this line

• y = 2x

• y = 0.5x

• y = 2x + 6

• y = 2x + 3

Answer explanation

Gradient: 6/3 = 2

Intercept: (0, 0)

Equation: y = 2x

Find the equation of this line.

• y = -3x + 5

• y = -5x + 15

• y = -3x - 15

• y = your mum

Answer explanation

Gradient: -15/5 = -3

Intercept: -15

Equation: y = -3x - 15

The distance formula between 2 cartesian points employs what concept?

• Pythagoras's Theorem

• Angle Theorems

• Congruency Theorems

• I don't know mate

Answer explanation

Read the answer innit

A line with a gradient of 0.5 is parallel to lines with a gradient of what?

• 2

• 0.5

• -2

• -0.5

Answer explanation

Parallel lines have the same gradient.

A line with a gradient of 0.5 is perpendicular to lines with a gradient of what?

• -2

• 2

• 0.5

• -0.5

Choose the correct equation of the displayed line

• 3x + 2y = 6

• 2x + 3y = 6

• 2x - 3y = 6

• 3x - 2y = 6

Answer explanation

Finding the gradient: -3/2

Finding the y-intercept: 3

y = mx + c

y = (-3/2) x + 3

Double every term

2y = -3x + 6

Rearrange

2y + 3x = 6

Choose the equation of a linear graph with gradient -3 and x-intercept of 4

• y = -3x + 4

• y = 4x - 3

• y = -3x + 12

• y = -3x - 12

Answer explanation

Gradient:-3

Given coordinate: (4, 0)

y - y₁ = m(x - x₁)

y - 0 = -3(x - 4)

y = -3x + 12

Choose the equation of a linear graph passing through (2, -7) and (-2, -2)

The distance between the points (1, 5) and (6, -7).

Choose the correct midpoint of the line segment joining (-4, 3) and (2, 7).

• (-1, 5)

• (-2, 4)

• (-6, 4)

• (-1, 2)