Asap 15 points 1) find the slope of a line that contains (-4, 0) and (-6, -2). 2) find the slope of a line that contains (2, 8) and (1, -3). 3) the value of y varies directly with x, and y = 6 when x = 18. find y when x = 12. type your answer as an integer, like this: 58. 4) tell whether the equation represents a direct variation. if so identify the constant of variation. 32y = 96x a) yes, the constant of variation is negative 3 b) yes, the constant of variation is -1/3 c) no d) yes, the constant of variation is 3

Answers

1) 1

2) 11

3) 4

4) D) Yes, the constant of variation is 3

Explanation

Q1

The slope of a line is given by

Slope = (change in y)/(change in x)

= (0 - -2)/(-4 - -6)

= 2/2

= 1

Q2

Slope = Δy/Δx

= (8 - -3)/(2 - 1)

= 11/1

= 11

Q3

Y varies directly as X. This is written as,

Y ∞ X

Put and equal sign then introduce the constant of proportionality, K.

Y = KX

K = Y/X

K = 6/18 = 1/3

∴ Y = (1/3)X

Y = (1/3) × 12

Y = 4

Q4

32Y = 96X

Dividing both sides by 32,

Y = 96/32 X

Y = 3X

3 been the constant, Y varies directly as X.

So, the equation 32y = 96x is a direct variation.

Constant of variation = 3

< 6 cm to > 26 cm i believe

step-by-step explanation:

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right