Question

The pair of points lies on the same line with the given slope. Find x.
(3,4), (x,13); slope=3

Answer 1

To find the value of x, we can use the formula for the slope of a line:

slope = (y2 - y1) / (x2 - x1)

Plugging in the given points (3,4) and (x,13), and the slope of 3, we get:

3 = (13 - 4) / (x - 3)

To simplify the equation, let's evaluate the numerator of the right side:

3 = 9 / (x - 3)

Next, we can cross multiply:

3(x - 3) = 9

Expanding the left side:

3x - 9 = 9

Adding 9 to both sides:

3x = 18

Finally, dividing both sides by 3:

x = 6

So the value of x is 6.