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WAEC Mathematics 2020 Paper

Question : 19

Total: 48

Solution:

Concept:

The slope of parallel lines is equal. Find the slope from the given line, then use the point-slope form for the required line.

Explanation:

Start with the given line:

2y = 3(x - 2)

Expand and solve for

y

2y = 3x - 6

y = \frac{3}{2}x - 3

So the slope is

m = \frac{3}{2}

For a parallel line passing through

(2, 3)

, use:

y - y_1 = m(x - x_1)

Substitute

m = \frac{3}{2}

x_1 = 2

y_1 = 3

y - 3 = \frac{3}{2}(x - 2)

y - 3 = \frac{3}{2}x - 3

Add

3

to both sides:

y = \frac{3}{2}x

Answer:

The equation is

y = \frac{3}{2}x

, which is option C.

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