Checking and securing understanding of interpreting graphs | Maths

Starter quiz

Which pair of coordinates does not sit on the line $y = 2x + 1$ ?

(0, 1)

(1, 3)

(2, 5)

(3, 6) ✓
Which point is not on the line represented by $y = -x - 2$ ?

(-1, 1) ✓

(0, -2)

(1, -3)

(2, -4)
Which of these coordinates does not lie on the line $y = 0.5x + 2$ ?

(2, 3)

(4, 4)

(6, 5)

(8, 5) ✓
Which pair of coordinates is not a solution to the equation $x^2 - y^2 = 16$ ?

(5, 3)

(4, 0)

(6, 2) ✓
Which coordinate pair does not satisfy the quadratic equation $y = x^2 - 4x + 3$ ?

(1, 0)

(3, 0)

(2, -1)

(0, 5) ✓
Which point does not satisfy the equation $2x^2 + 3x - 5 = y$ ?

(-10, 165)

(-8, 99)

(1, 0)

(-1, 0) ✓

Which of the following coordinate pairs satisfies the equation $2x + 5y = 58$ ?

$(-1, 10)$

$(-1, 12)$ ✓

$(1, 11)$

$(1, -11)$
Which of the following coordinate pairs satisfies the equation $6x + 2y = 26$ ?

$(-2, 7)$

$(2, -7)$

$(2, 7)$ ✓

$(-2, -7)$
Which of the following coordinate pairs satisfies the equation $5x = 1 - 2y$ ?

$(-1, -3)$

$(-1, 3)$ ✓

$(-1, -3)$

$(1, 3)$
Which of the following coordinate pairs satisfies the equation $5x + 2y = 54$ ?

$(8, 7)$ ✓

$(-8, 7)$

$(8, -7)$

$(-8, -7)$
If $x = 2$ , what is the value of $y$ for $5x + 2y = -8$ ?

'y = -9' ✓
If $x = 2$ , what is the value of $y$ for $5x + 2y = 32$ ?

'11' ✓

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If you have one value, you can use a linear graph to find its pair.
The pair of values will satisfy the linear equation.
If the x and y variables have context, then their values can be interpreted within that context.
With quadratic graphs, there may be more than one value to find.

Substituting with negative values.

Putting brackets around all substituted values is good practice.

Quadratic - A quadratic is an equation whereby the highest exponent of the variable is 2; the graph of which forms a parabola.
Linear - The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.