Question

Identify the slope of the line passing through: ( -4, -1), and Parallel to y = 3/4x - 2

Answer 1

The slope of the line parallel to the given line is 3/4

Step-by-step explanation:

Given the line

`y=(3)/(4)x-2`

The line parallel to the above has the same slope 3/4 but different y-intercept.

It is in the form:

`y=(3)/(4)x+b`

Where x and y are the coordinates of the point (-4, -1) and b is the y-intercept.

Using x = -4, and y = -1, we can obtain the value of b.

`-1=(3)/(4)(-4)+b`
`-1=-3+b`

Add 3 to both sides

`b=2`

Therefore, the equation is:

`y=(3)/(4)x+2`