if the slope of the line that passes through the given pair of points is 13, find the value of X.

(-1/4,1/6) and (1/3,x)

c'mon, guy, you can do this. The slope is

(x - 1/6)/(1/3 + 1/4)

Now just set that = 13 and solve for x.

Your question was already answered two questions below, is there a particular part of the solution you did not understand?

I dont get what to do

I dont get what to do

You know that the slope is ∆y/∆x -- that is, the change in y/x going from one point to the other. So, you need to solve

(x - 1/6)/(1/3 + 1/4) = 13
(x - 1/6)/(7/12) = 13
x - 1/6 = 13*7/12 = 91/12
x = 91/12 + 1/6 = 93/12 = 31/4

To find the value of x, we need to use the slope-intercept form of a linear equation, which is y = mx + b. In this equation, m represents the slope of the line.

First, let's find the slope using the given points. The slope (m) is given as 13. We can use the slope formula:

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

Let's substitute the values from the points into the formula:

13 = (x - 1/6) / (1/3 - (-1/4))

To simplify this equation, let's find the common denominator for the fractions:

13 = [x - 1/6] / [7/12]

Next, we can simplify the equation further by multiplying both sides of the equation by the denominator:

(13) * (7/12) = x - 1/6

91/12 = x - 1/6

Now, let's isolate x by adding 1/6 to both sides of the equation:

91/12 + 1/6 = x

To add the fractions, we need a common denominator, which is 12:

[(91/12) * (2/2)] + 1/6 = x
182/24 + 4/24 = x
186/24 = x

Finally, we can simplify the fraction 186/24 by dividing both the numerator and denominator by their greatest common divisor, which is 6:

(186/6) / (24/6) = x
31/4 = x

Therefore, the value of x is 31/4.