The co-ordinate diagram below shows the lines k, t, and p - Junior Cycle Mathematics - Question 8 - 2016
Question 8
The co-ordinate diagram below shows the lines k, t, and p.
The table shows the slope of each line.
Write the letters k, t, and p into the table to match each line t... show full transcript
Worked Solution & Example Answer:The co-ordinate diagram below shows the lines k, t, and p - Junior Cycle Mathematics - Question 8 - 2016
Step 1
Slope 0
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Answer
The line t is horizontal, which has a slope of 0.
Step 2
Slope 1
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Answer
The line p rises one unit for every one unit it runs, which gives it a slope of 1.
Step 3
Slope -1
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Answer
The line k falls one unit for every one unit it runs horizontally, thus its slope is -1.
Step 4
Write down the equation of the line l
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Answer
To find the equation of the line l with a slope of 3 passing through the point (0, 5), we use the slope-intercept form:
Starting with the point-slope form:
y−y1=m(x−x1)
Substituting m = 3, y_1 = 5, and x_1 = 0:
y−5=3(x−0)
This simplifies to:
y=3x+5
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