Write an equation in slope-intercept form for the line that is parallel to y= -x -5 and contains the point ( 3 , − 2 ) .

Hello!

We need to know that if two lines are parallel, then their slopes must be equivalent. This means that the new equation has a slope of -1.

Also, to find the equation that contains the point (3, -2), we need to substitute that ordered pair with the original slope into the equation to find the y-intercept.

As a reminder, slope-intercept form is y = mx + b. In this equation, m is the slope and b is the y-intercept.

-2 = -1(3) + b

-2 = -3 + b (add 3 to both sides)

1 = b

Therefore, the equation of the line is y = -x + 1.  

54 km / hours

step-by-step explanation:

we need to convert seconds to hours

60 seconds = 1 minutes

60 minutes = 1hour

15 m         60 second   60 minutes

  * *         = 54000 meters/ hour

second     1 minute             1 hour

now we need to convert meters to km

1000 m = 1 km

54000 m       1 km

*   = 54 km / hours

hour               1000m

the distance between the school and her home is 3.6km.

12 mins = 0.2 hours = 1/5 hour

54 ÷ 3 = 18km per hour

1/5 of 18 = 3.6km per 12 mins