Question

Finding the equation of a parallel line

The straight line L has equation y = 2x − 5
Find an equation of the straight line parallel to L which passes through (−2, 3).
Give your answer in the form 'y = mx + c

Answer 1

Answer:

the answer is 2x-6

Step-by-step explanation:

The slope is the value m in the equation of a line:

y = mx + b

Find the equation of the line that is:

parallel to y = 2x + 1

and passes though the point (5,4)

The slope of y=2x+1 is: 2

The parallel line needs to have the same slope of 2.

We can solve it using the "point-slope" equation of a line:

y − y1 = 2(x − x1)

And then put in the point (5,4):

y − 4 = 2(x − 5)

And that answer is OK, but let's also put it in y = mx + b form:

y − 4 = 2x − 10

y = 2x − 6