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KiRa [710]
3 years ago
13

Write the equation of the line passing through the given point T (-6,2) and is parallel to the line

Mathematics
1 answer:
professor190 [17]3 years ago
7 0

Answer:

y = \frac{2}{3} x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{2}{3} x ← is in slope- intercept form

with slope m = \frac{2}{3} and c = 0

Parallel lines have equal slopes , thus

y = \frac{2}{3} x + c ← is the partial equation

To find c substitute (- 6, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = \frac{2}{3} x + 6 ← equation of parallel line

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