Question

A line has a slope of -6 and includes the points (5, u) and (6, -2). What is the value of u?

Answer 1

To solve this, we will use the slope formula

`\text{slope =}(y_2-y_1)/(x_2-x_1)`

From the question, slope = -6 x₁=5 y₁=u x₂ =6 y₂=-2

substitute the values into the formula and solve for u

-6

`-6=(-2-u)/(6-5)`
`-6=(-2-u)/(1)`
`-6\text{ = -2 - u}`

Add 2 to both-side of the equation

-6 + 2 = -u

-4 = -u

Multiply through by -1

4 = u

Therefore the value of u is 4