The given line passes through the points (0, −3) and (2, 3). what is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point (−1, −1)? y + 1 = ( ? ) (x + 1)

we know that

If two lines are parallel, then their slopes are the same

Step

Find the slope of the given line

Let

we know that

the formula to calculate the slope between two points is equal to

substitute the values in the formula

Step

Find the equation of the parallel line in the point slope form

we know that

the equation of the line in the point-slope form is equal to

substitute the values

therefore

the answer is

the equation in the point slope form is

6 on both sides and twelve on the top and the bottom

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.