Use slope to determine if the following lines are parallel, perpendicular, or neither. y = 3x + 2 and x+3y=21

The lines are not parallel nor perpendicular.

Step-by-step explanation:

Since the first equation is shown in a slope form, we also want the second equation to be in slope form.  Subtract x from x+3y=21 on both sides to get this equation 3y = -x + 21.  You would need to divide 3 on both sides for this equation y = -1/3x+7 in which 21 is divisible by 3.  Due to the two slopes going in opposite directions, it is safe to say that they are intersecting but a perpendicular line has to be a 90-degree angle, and because when you put it on the calculator, the second slope is more straight than the first angle making it not parallel or perpendicular.

answer: it is a.,b.,d.

step-by-step explanation:

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.