The pair of points lies on the same line with the given slope. Find x.
(4, -13), (x, 21); slope = -2
To find the value of x, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given values:
-2 = (21 - (-13)) / (x - 4)
Now, we solve for x:
-2(x - 4) = 21 - (-13)
-2x + 8 = 21 + 13
-2x + 8 = 34
-2x = 34 - 8
-2x = 26
x = 26 / -2
x = -13
Therefore, the value of x is -13.
fraction
Apologies for the confusion. Let's solve for x with fractions.
-2 = (21 - (-13))/(x - 4)
-2 = (21 + 13)/(x - 4)
-2 = 34/(x - 4)
Cross multiplying:
-2(x - 4) = 34
Distributing -2:
-2x + 8 = 34
Subtracting 8 from both sides:
-2x = 26
Dividing both sides by -2:
x = -26/2
x = -13
Therefore, the value of x is -13.
8
Apologies for the confusion. Let's solve for x with the slope equal to -2 and the given pair of points.
Using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Substituting the given values:
-2 = (21 - (-13)) / (x - 4)
Simplifying:
-2 = (21 + 13) / (x - 4)
-2 = 34 / (x - 4)
To solve for x, we can cross multiply:
-2(x - 4) = 34
-2x + 8 = 34
Subtracting 8 from both sides:
-2x = 34 - 8
-2x = 26
Dividing both sides by -2:
x = 26 / -2
x = -13
Therefore, the value of x is -13.
To find the value of x, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
In this case, the two given points are (4, -13) and (x, 21), and the slope is -2.
Using the formula, we can substitute the coordinates and slope into the equation:
-2 = (21 - (-13)) / (x - 4)
Simplifying the numerator:
-2 = (21 + 13) / (x - 4)
-2 = 34 / (x - 4)
Next, we can cross multiply:
-2(x - 4) = 34
Distribute -2:
-2x + 8 = 34
Now, we can isolate x by subtracting 8 from both sides of the equation:
-2x + 8 - 8 = 34 - 8
Simplifying:
-2x = 26
Finally, divide both sides by -2 to solve for x:
x = 26 / -2
x = -13
Therefore, the value of x is -13.