Write the slope-intercept form of the equation that passes through the point (0,-3) and is perpendicular to the line y = 2x - 6

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

Where:

m: It's the slope

b: It is the cutoff point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

We have the following line:

Then

The slope of a perpendicular line will be:

Thus, the equation of the line will be:

We substitute the given point and find "b":

Finally the equation is:

Step-by-step explanation:

The slope-intercept form of the equation of a line has the following form:

Where m is the slope of the line and b is the intercept with the y axis

In this case we look for the equation of a line that is perpendicular to the line

.

By definition If we have the equation of a line of slope m then the slope of a perpendicular line will have a slope of

In this case the slope of the line is :

Then the slope of the line sought is:

The intercept with the y axis is:

If we know a point belonging to the searched line, then the constant b is:

in this case the poin is: (0,-3)

Then:

finally the equation of the line is:

1     sepan

2     encuentren

3     tenga

4     hable

5   parezca

6   llegue

x = 3 ± √(5+y)