Question

Equation of y-intercept -1 parallel y=-1/2x-4

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have the following equation:

`y = - \frac {1} {2} x-4`

The slope is:

`m = - \frac {1} {2}`

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have slope
`m = - \frac {1} {2}`. Therefore, the equation will be of the form:

`y = - \frac {1} {2} x + b`

In the statement they tell us that
`b = -1,` substituting we have:

`y = - \frac {1} {2} x-1`

Answer:

The equation is:

`y = - \frac {1} {2} x-1`