Foundation November 2020 Paper 1 Q22
22 This graph shows part of a straight line.
(a) Write down the \(y\)-intercept. [1]
(b) Show that the gradient of the line is \({}^{-}2\). [1]
(c) Write down the equation of the line. [1]
(d) The line continues to the right.
Will this line pass through the point \((50, {}^{-}103)\)?
Show how you decide. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 3 | 1 | Accept (0, 3) | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Any correct reason e.g. \(({}^{-}2, 7)\) and \((4, {}^{-}5)\) [gradient=] \(\dfrac{-5-7}{4--2} = \dfrac{-12}{6}\) [= \({}^{-}2\)] | 1 | Points used must be on the line | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(y = {}^{-}2x + 3\) oe | 1 | FT \(y = {}^{-}2x +\) their a | |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| No because \(y = {}^{-}97\) when \(x = 50\) oe or No because \(x = 53\) when \(y = {}^{-}103\) oe or No because \({}^{-}103 \ne {}^{-}97\) oe or No because \(50 \ne 53\) oe | 2 | M1 for \([y =]\ {}^{-}2 \times 50 + 3\) soi by \([y =]\ {}^{-}97\) or \({}^{-}103 = {}^{-}2x + 3\) soi by \([x =]\ 53\) | FT Award M1 for substitution seen into \(y = -2x +\) their \(c\) |