If A(x, 1), B(-3, 7), C(-5, 9), and D(5, 4), find the value of x so that AB is parallel to CD.

Required Value of x is x=9

Step-by-step explanation:

We are given A(x, 1), B(-3, 7), C(-5, 9), and D(5, 4) and we need to find value of x, given that AB is parallel to CD

We know that if two lines are parallel, there slope is equal.

So, if we find slope of line CD, it will be same for line AB and using slope formula we can find value of x.

The formula used to find slope is:

Finding Slope of line CD

Using Points C(-5, 9), and D(5, 4) the slope of line CD is:

So, slope of line CD is: Slope = -1/2

Finding value of x

Using points A(x, 1), B(-3, 7) and Slope =-1/2 (Parallel lines have same slope) we can find value of x:

So, Required Value of x is x=9

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.