Linear Equations

Front

Equation of the line:

Back

y = 2x

Answer explanation

Gradient: 6/3 = 2

Intercept: (0, 0)

Equation: y = 2x

Front

Find the equation of this line.

Back

y = -3x - 15

Answer explanation

Gradient: -15/5 = -3

Intercept: -15

Equation: y = -3x - 15

Front

The distance formula between 2 cartesian points employs what concept?

Back

Pythagoras's Theorem

Answer explanation

Read the answer innit

Front

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

Back

0.5

Answer explanation

Parallel lines have the same gradient.

Front

A line with a gradient of 0.5 is perpendicular to lines with a gradient of what? Options: -2, 2, 0.5, -0.5

Back

-2

Front

Equation of the displayed line:
Options: 3x + 2y = 6, 2x + 3y = 6, 2x - 3y = 6, 3x - 2y = 6

Back

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

Front

Equation of a linear graph with gradient -3 and x-intercept of 4

Back

y = -3x + 12

Answer explanation

Gradient:-3

Given coordinate: (4, 0)

y - y₁ = m(x - x₁)

y - 0 = -3(x - 4)

y = -3x + 12

Front

Back

Front

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

Back

Front

Midpoint of the line segment joining (-4, 3) and (2, 7)?

Back

(-1, 5)