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The line h has a slope of 4 and passes through the point (20, 12) - Junior Cycle Mathematics - Question 11 - 2022

Question 11

The line h has a slope of 4 and passes through the point (20, 12). Find the co-ordinates of another point on the line h, other than the point (20, 12). Show your wo... show full transcript

Worked Solution & Example Answer:The line h has a slope of 4 and passes through the point (20, 12) - Junior Cycle Mathematics - Question 11 - 2022

Step 1

Find the Equation of the Line

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Answer

The formula for the slope (m) is given by:

$m = \frac{rise}{run}$

Given that the slope is 4 and using the point (20, 12), we can write the equation of the line in point-slope form:

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

Substituting the values, we get:

$y - 12 = 4(x - 20)$

Now expand and simplify the equation:

$y - 12 = 4x - 80$

Thus,

$y = 4x - 68$

Step 2

Find Another Point on the Line

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Answer

Now that we have the equation of the line, we can choose any value for x to find another point.

Let's choose x = 21:

$y = 4(21) - 68$

Calculating this:

$y = 84 - 68$ $y = 16$

Therefore, another point on the line h, other than (20, 12), is (21, 16).

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