Look at the figure. Which construction is illustrated? 7. Which is the equation of the line with slope 3 that contains point (−1, 5)? a) y – 1 = 3(x – 5)
b) y – 5 = 3(x + 1)
c) y – 5 = 3(x − 1)
d) y – 1 = 3(x + 5)

Option B

Step-by-step explanation:

I can't do the 'figure question' because it lacks info, but I can answer the point-slope question.

Point-slope form is:

'm' - slope

'(x1, y1)' - point

We are given the slope of 3 and the point (-1, 5).

Replace 'x1', 'y1', and 'm' with the appropriate values.

Option B should be the correct answer.

3/20

step-by-step explanation:

well, there are 20 outcomes, and 3 of them you want. so, 3/20

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.