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The line L is shown on the grid - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 2

Question 4

The line L is shown on the grid. Find an equation for L.

Worked Solution & Example Answer:The line L is shown on the grid - Edexcel - GCSE Maths - Question 4 - 2018 - Paper 2

Step 1

Find the slope of the line L

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Answer

To find the equation of the line L, we first need to determine its slope (m). We can observe two points on the line L: (0, -6) and (2, -4). The slope can be calculated using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - (-6)}{2 - 0} = \frac{2}{2} = 1$

Thus, the slope of line L is 1.

Step 2

Use point-slope form to find the equation

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Answer

With the slope (m) known and using the point (0, -6), we can employ the point-slope formula:

$y - y_1 = m(x - x_1)$

Substituting our values yields:

$y - (-6) = 1(x - 0)$

This simplifies to:

$y + 6 = x$

Rearranging gives the equation of line L:

$y = x - 6$

Step 3

Final equation of line L

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Answer

The final equation for line L is therefore:

$y = x - 6$

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