Write the equation of each line. a a line that passes through the point (0, –3) and parallel to another line whose slope is 1.2.

Question

 Write the equation of each line.
a
a line that passes through the point (0, –3) and parallel to another line whose slope is 1.2.

Answer 1

Hello,

Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.

So now we have a point and a slope, so we can use the following formula to find the equation of the line:

y-y₁ = m (x-x₁)

Where:

y₁ - y coordinate of a point on the line

x1 - x coordinate of the same point on the line

m - slope

 

Plugging in we get:

y+3 = 1.2 (x-0)

y = 1.2x - 3 (slope intercept form)

or

5y-6x = -15 (standard form)

 

Cheers,

Answer 2

If parallel, it must have the same slope.

 

y = 1.2x + b

 

Use the given point to find b.

 

-3 = 1.2(0) + b

b = -3

 

y = 1.2x - 3

 

(By the way, it is not clear whether you mean the slope is 1 or 1.2, with the "2" possibly being the number of the next problem.  You should edit the problem statement.  Anyway, you have the method to solve the problem.  Just plug in the correct slope.)