Write the ratio 12: 9 as an equivalent ratio of 4: x. Write your answer as a complete ratio. (1 point)
4:3
Which of the following, Option 1 or Option 2, is a proportion?
Option 1: 5/6 = 15/18
Option 2: 5/6 = 20/18
Option ? is a proportion.
Option 1: 5/6 = 15/18
This is a proportion because when you cross multiply, 5 x 18 is equal to 6 x 15.
The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin. With the coordinates A(1,5) and B (2,10).
(1 point)
To find the equation of a line through the origin (0,0) that passes through the points A(1,5) and B(2,10), we can first calculate the slope, m, using the coordinates of points A and B.
The slope formula is given by:
m = (y2 - y1) / (x2 - x1)
Using the coordinates of points A(1,5) and B(2,10):
m = (10 - 5) / (2 - 1) = 5 / 1 = 5
Now that we have found the slope, we can write the equation of the line through the origin in the form y = mx:
y = 5x
Therefore, the equation of the line passing through the origin and points A(1,5) and B(2,10) is y = 5x.