Write down the gradient of the line \(y = 7 - 3x\).
Question 1 Report
Write down the gradient of the line \(y = 7 - 3x\).
Answer Details
When a straight line is written in the form \(y=mx+c\), the number multiplying \(x\) is the gradient \(m\) and the constant is the \(y\)-intercept \(c\). Here the equation is written with the terms in the other order, \(y=7-3x\), so rearranging it mentally gives \(y=-3x+7\).
The coefficient of \(x\) is \(-3\), so the gradient is \(-3\) cao [B1].
The minus sign is part of the answer and must be kept: a negative gradient means the line slopes downwards from left to right, falling 3 units for every 1 unit moved to the right. Answering 7 confuses the gradient with the intercept, and answering 3 loses the direction of the slope.
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