A line goes through the point (–4,–2) and has an x-intercept of –1. Which point also lies on the line?
(–6,–5)
(3,2)
(4,5)
(5,4)

(5,4)

Step-by-step explanation:

thanks to the second information we know that a certain second point of the line is (-1,0)

Now we can use a formula to find the equation of the line, that is

(y-y1)/(y2-y1) = (x-x1)/(x2-x1) where x and y 1 and 2 are the coordinates of the points.

(y+2)/2 = (x+4)/(-1+4)

y+2/2 = (x+4)/ 3

3y+6 = 2x+8

2x-3y+2 = 0

now we have to find the point that make true the equation (we have to sobstitute x and y with the coordinates of the given points)

1)  -12 +15 + 2 = 0 ; 3 = 0 (wrong)

2) 6-4+2 = 0 ; 4 = 0 (wrong)

3) 8-15+2 = 0 ; -5 = 0 (wrong)

4) 10-12+2 = 0 ; 0=0 (true)

so (5,4) is the correct answer

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.

its less than 713.21 but greater than 5.2