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:

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