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Rufina [12.5K]
3 years ago
6

write the equations of the line passing through the point (2,4) and parallel to the line whose equation is y=x

Mathematics
1 answer:
anastassius [24]3 years ago
3 0

Answer:

y = x + 2

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 = x is in this form

with slope m = 1 and c = 0

• Parallel lines have equal slopes, thus

y = x + c ← is the partial equation of the parallel line

To find c substitute (2, 4) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = x + 2 ← equation of parallel line

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