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:

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it

the image is given below

since the options are not given so we draw it from the equation

the given equation is

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

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this