First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.
Both the train will meet after 36 minutes.
<h3>Concept:</h3>
- To find when both the train will meet again at the same time, we need to find the LCM of the frequency.
<h3>How to solve the given question?</h3>
- Frequency of express train = 9 minutes = 3 × 3
- Frequency of local train = 12 minutes = 2 × 2 × 3
- LCM = 2 × 2 × 3 × 3 = 36
Thus, both the train will meet after 36 minutes.
Learn more about LCM here:
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This is true, because of the distributive property. You can expand 2(a + b) to be a + b + a + b
