Find the equation of the line passing through (4, 3) and (-2, -7): a. 3x + 5y = 27 b. 3x - 5y = -3 c. 5x - 3y = 11 d. 2x - y = 5

(c) 5x - 3y = 11

Step-by-step explanation:

using slope intercept form

we know equation of line is

y= mx+c........(1)

where m is slope which  can be written as

substituting value in equation (1)

now inserting value of point (4,3)

on solving we get

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.