What is the equation of the line that contains the point (-5, -1) and has a slope of 4? write in slope-intercept form.
a y = 4x - 19
b. y = 4x+19
c y = 4x-1
d. y = 4x+1

Point-slope form is , where is the slope and is a point on the line.

Substitute the values.

Simplify the negative subtraction.

Distribute the .

Subtract on both sides.

B.y = 4x+19

Step-by-step explanation:

We are given a point and a slope, we can write the equation in point slope form

y-y1 = m (x-x1)

y--1 = 4(x--5)

y+1 = 4(x+5)

We want the equation in slope intercept form(y=mx+b)

Distribute

y+1 =4x+20

Subtract 1 from each side

y+1-1 = 4x+20-1

y = 4x+19

answer: your answer is a

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.