Question

Question 18(1 point)Passes through the points, (0,6), (-8,6)Determine the slope.

Answer 1

Given the coordinates of the points passing through a line:

`(0,6)\text{ and (-8,6)}`

Let's name the given coordinates:

x1, y1 = -8,6

x2, y2 = 0,6

In determining the slope (m), we will be using this formula:

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

Let's plug in the coordinates in the formula to be able to get the slope (m).

`\text{ m = }(y_2-y_1)/(x_2-x_1)`
`\text{ m = }\frac{6-6_{}}{0_{}-(-8)_{}}=\frac{6\text{ - 6}}{0\text{ + 8}}`
`\text{ m = }(0)/(8)`
`\text{ m = 0}`

Therefore, the slope of the line (m) = 0. The line is a horizontal line and has no slope.

The same thing works at question 17 at x1,y1 = -5,6 and x2,y2 = -5,10.