Question

A line that passes through the points (x, 4) and (6, -1) has a slope of 56. what value of x will yield the given slope?

Answer 1

The value of x that yields a slope of 56 is 6.09

How to determine the value of x?

The given parameters are:

• Slope = 56
• Points: (x,4) and (6,-1)

The slope of two points is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

This gives

$\frac{-1 -4}{6 -x} = 56$

Evaluate the difference

$\frac{-5}{6 -x} = 56$

Cross multiply

56(6 - x) = -5

Divide both sides by 56

6 - x = -0.09

Make x the subject

x = 6 + 0.09

Evaluate

x = 6.09

Hence, the value of x that yields a slope of 56 is 6.09

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