A line in the xy-plane passes through the points (3, 0) and (5, 6).\[\small{1}\] \[\small{2}\] \[\small{3}\] \[\small{4}\] \[\small{5}\] \[\small{6}\] \[\small{7}\] \[\small{8}\] \[\small{\llap{-}2}\] \[\small{1}\] \[\small{2}\] \[\small{3}\] \[\small{4}\] \[\small{5}\] \[\small{6}\] \[\small{7}\] \[\small{8}\] \[\small{\llap{-}2}\] \[y\] \[x\] \[O\] A line in the xy-plane passes through the points (3, 0) and (5, 6). What is the slope of the line in the \[xy\]-plane?

Respuesta :

Answer: 3

Step-by-step explanation:


The slope of the line passing through the points (3, 0) and (5, 6) can be calculated using the following formula:

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

where:

m is the slope of the line.
(x1, y1) is the first point on the line.
(x2, y2) is the second point on the line.
In this case:

x1 = 3, y1 = 0
x2 = 5, y2 = 6
Plugging these values into the formula:

m = (6 - 0) / (5 - 3)
m = 6 / 2
m = 3

Therefore, the slope of the line in the xy-plane is 3.

Remember, a positive slope indicates an upward-slanting line from left to right, while a negative slope indicates a downward-slanting line from left to right. In this case, a slope of 3 represents a steep upward slant.
msm555

Answer:

slope of xy plane: 3

Step-by-step explanation:

The slope ([tex]m[/tex]) of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] can be calculated using the formula:

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

In this case, the points are [tex](3, 0)[/tex] and [tex](5, 6)[/tex]. So, substitute in the values:

[tex] m = \dfrac{6 - 0}{5 - 3} [/tex]

[tex] m = \dfrac{6}{2} [/tex]

[tex] m = 3 [/tex]

Therefore, the slope of the line passing through the points (3, 0) and (5, 6) in the xy-plane is [tex]3[/tex].