Find the equation of the line parallel to the line y = 3x and passing through the point A (2; -2).
| March 12, 2021 | education
1. The coefficient of direct proportionality is equal to:
y = 3x;
k = 3.
2. Parallel straight lines have equal slopes, hence the equation of a straight line passing through point A (2; -2):
y – y0 = k (x – x0);
y + 2 = 3 (x – 2);
y + 2 = 3x – 6;
y = 3x – 6 – 2;
y = 3x – 8.
Answer. Equation of a straight line: y = 3x – 8.
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