Answer:
F' = (-6,3)
Distance = 12 units
Step-by-step explanation:
F is currently at (6,3).
Reflected over the y-axis, it would be at (-6,3).
That puts them 12 units apart.
Answer:
B.
Step-by-step explanation:
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
23/4
Step by step:
5/1 + 3/4
5/1 • 4 = 20/4
20+3/4
23/4
750 bikes would be sold for $350
Let x represent the number of bikes sold per month and y represent the price.
550 bikes are sold at a price of $250, this can be represented by (550, 250). Also, 750 bikes is sold at a price of $150, hence it is represented by (750, 150)
A linear function is represented by:
y = mx + b
m is the slope, b is the y intercept.
Therefore the function is:

The number of bikes sold for $350 is:
350 = (1/2)x - 25
x = 750
Therefore 750 bikes would be sold for $350
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