Lines a, b, and c lie on the same coordinate plane. Line a is perpendicular to line b and intersects at (3, 6). Line b is perpendicular to line c, which is the graph of y = 2x + 3. Write the equations of lines a and b.

The answer is below

Step-by-step explanation:

The equation of a straight line is given as y = mx + b, where m is the slope and b is the y intercept.

Given that the equation of line c is y = 2x + 3, and line b is perpendicular to line c. Two lines are perpendicular if the product of their slope is -1. We can see that the slope of line c is 2, let be the slope of line c, hence:

Also, line b passes through (3, 6), hence the equation of line b is:

Line b has a slope of -1/2, and is perpendicular to line a, let be the slope of line a, hence:

Also, line a passes through (3, 6), hence the equation of line a is:

step-by-step explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05