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Find the gradient of the line with equation $2x + 5y = 7$ Circle your answer. - AQA - A-Level Maths Pure - Question 1 - 2017 - Paper 1

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Find the gradient of the line with equation $2x + 5y = 7$ Circle your answer.

Worked Solution & Example Answer:Find the gradient of the line with equation $2x + 5y = 7$ Circle your answer. - AQA - A-Level Maths Pure - Question 1 - 2017 - Paper 1

Step 1

Rearrange the equation to slope-intercept form

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Answer

To find the gradient (slope) of the line, we first need to rearrange the equation into the slope-intercept form, which is given by y=mx+by = mx + b, where mm is the gradient.

Starting from the equation:

2x+5y=72x + 5y = 7

We isolate yy as follows:

5y=−2x+75y = -2x + 7 y=−25x+75y = -\frac{2}{5}x + \frac{7}{5}

Step 2

Identify the gradient

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Answer

From the equation y=−25x+75y = -\frac{2}{5}x + \frac{7}{5}, we can see that the gradient mm is:

m=−25m = -\frac{2}{5}

Thus, the answer is −25-\frac{2}{5}.

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