Respuesta :
Point O, Point A, and Point B are all on the same line.
That means that if you find the slope from point O to point A, or point A to point B, or point O to point B, they will all have the same slope.
That eliminates answer choices C and D.
Point A (4,2)
Point B (6,3)
[tex]Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{6-4} =\frac{1}{2}[/tex]
Your final answer is A. It is 1/2 throughout the line
That means that if you find the slope from point O to point A, or point A to point B, or point O to point B, they will all have the same slope.
That eliminates answer choices C and D.
Point A (4,2)
Point B (6,3)
[tex]Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-2}{6-4} =\frac{1}{2}[/tex]
Your final answer is A. It is 1/2 throughout the line
Let's find the slope!
Point A is (4,2)
Point B is (6,3)
[tex]\sf{Slope = \frac{y_2-y_1}{x_2-x_1} }\\\\=\frac{2-3}{4-6} =\frac{-1}{-2}=\boxed{\bf{\frac{1}{2}}}[/tex]
The slope is 1/2 throughout the line.
All three points are on the same line so they will all have the same slope.
Your answer is A. It is 1/2 throughout the line.
Point A is (4,2)
Point B is (6,3)
[tex]\sf{Slope = \frac{y_2-y_1}{x_2-x_1} }\\\\=\frac{2-3}{4-6} =\frac{-1}{-2}=\boxed{\bf{\frac{1}{2}}}[/tex]
The slope is 1/2 throughout the line.
All three points are on the same line so they will all have the same slope.
Your answer is A. It is 1/2 throughout the line.