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

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Question 4

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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

Identify the slope and y-intercept

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Answer

The slope (m) can be derived from any two points on the line. From the graph, we can see that the line passes through the points (0, -6) and (3, -3). Therefore, the slope can be calculated as:

m=y2−y1x2−x1=−3−(−6)3−0=33=1m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - (-6)}{3 - 0} = \frac{3}{3} = 1

The line also intersects the y-axis at -6, which gives us the y-intercept (c). So, we have m = 1 and c = -6.

Step 2

Form the equation of the line

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Answer

Using the slope-intercept form of a line, which is: y=mx+cy = mx + c we can substitute the values of m and c:

y=1x−6y = 1x - 6 Thus, the equation simplifies to: y=x−6y = x - 6.

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