How to find the equation of a line that is parallel and passes through a point

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:

y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:

y=2x+b

14=2*3+b

14=6+b

b=8

The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).

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