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