The pair of points lies on the same line with the given slope. Find X? (5,14), (X, 23); slope = 3

2 Answers
May 27, 2018

Answer:

It should be 8.

Explanation:

By the formula , #y-y_1 = m(x-x_1)# , where m is the slope of the line and the points are #(x,y)# and #(x_1,y_1)# ,

Putting the values in the above formula, we can find that -

#14-23 = 3 ( 5-x )#

#=> -9 = 3 (5-x)#

#=> -3 = 5-x#

#=> x = 5+3 = 8#

Hence the value of #x# should be 8 and thus the points will be #(5,14)# and #(8,23)#

May 27, 2018

Answer:

X = 8

Explanation:

Slope formula : #(y_2 - y_1)/(x_2 - x_1)#

First you must plug in the point into this formula and the slope is 3 so you set it equal to 3
#(14-23)/(5-x) = 3#

Cross Multiply
#3(5-x) = 14-23#

Simplify
#15-3x = -9#

Subtract 15 on both sides
#-3x = -24#

Divide by -3 on both sides
x = 8