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.
The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.
We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,
In ΔKLM, using law of sine, we get
On further simplification, we get
Approximate the value to the nearest inch.
Therefore, the length of k is 55 inch.
In the given graph, lets mark two points:
Let 
and 
The slope of the line is given by:
The equation of the line is given by:
Therefore, the function equation represented by the graph is: 
