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.
Answer:
-168
Step-by-step explanation:
8 × -7 × 3
-56 × 3
-168
Answer:
C. 40π cm²
Explanation:
• The central angle of the sector = 225 degrees
,
• The radius of the sector = 8cm
For a sector of radius r and central angle θ, we calculate the area using the formula below:
Substituting the given values, we have:
The area of the sector is 40π cm².
Answer:
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