Find the value of x so that the line passing through the points will have the given slope: (x, 6) and (10, -3) with a slope of -3/2. Type only the number in the blank
To find the value of x, we can use the formula for the slope of a line:
slope = (y2 - y1) / (x2 - x1)
Given that the slope is -3/2 and the points (x, 6) and (10, -3), we can substitute the coordinates into the formula:
-3/2 = (-3 - 6) / (10 - x)
Now, we can simplify the equation and solve for x:
-3/2 = -9 / (10 - x)
To get rid of the fraction, we can cross-multiply:
-3(10 - x) = -9(2)
-30 + 3x = -18
Now, we isolate the variable x:
3x = -18 + 30
3x = 12
Finally, we solve for x by dividing both sides of the equation by 3:
x = 12 / 3
x = 4
So, the value of x is 4.