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both lines have the same slope, hence they are parallel to each other

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the slope of the line and b is the y intercept.

Two lines are said to be parallel to each other if they have the same slope, whereas two lines are perpendicular to each other if the product of their slopes is -1.

Given a line with an equation:

y = (2/3)x - 17

From the equation of the line with can see that the slope of the line is 2/3 and the y intercept is -17.

Also the other line has an equation of 4x - 6y = -6

6y = 4x + 6

y = (2/3)x + 1

Hence this line has a slope of 2/3 and a slope of 1.

Since both lines have the same slope, hence they are parallel to each other

blue marble is 15 times out of 50 = 15/50 reduces to 3/10

landing on tails is 24 out of 50 = 24/50 reduces to 12/25

to find the probability of both multiply together:

3/10 x 12/25 = 3 x 12 / 10 x 25 = 36/250

if you multiplied the numerator and denominator by 10 you get 360/2500.

the answer is 360/2500