What is the y-intercept of the line given by the equation below
Y=4x-6

the y-intecept of the line is (0, -6)

Step-by-step explanation:

Given the linear equation in slope-intercept form: y = mx + b

where:

m = slope  = 4

b = y-intercept = -6

The y-intercept is the value of y when x = 0.

Plug x = 0 into the equation to solve for the y-intercept:

y = 4x - 6

y = 4(0) - 6

y = 0 - 6

y = -6

Therefore, the y-intecept of the line is (0, -6)

y=-6

Step-by-step explanation:

y-intercept (make x=0)

y=4x-6

y=4(0)-6

y=0-6

y=-6

(0,-6)

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.