At a local school, 940 students each wrote 40 letters in students in another country. How many letters were written in all?
1 answer:
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Answer:
- The y-intercept : (0, 1)
- The x-intercept : (-0.333, 0)
The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given the function
comparing with the slope-intercept form y = mx+b of the equation of a line
Thus:
The slope of the line m = 3
The y-intercept b = 1
As the y-intercept b = 1, so the point (0, 1) represents the y-intercept because the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
The x-intercept can be determined by setting y = 0 and determining the corresponding value of x.
y = 3x+1
0 = 3x+1
3x = -1
dividing both sides by 3
3x/3 = -1/3
x = -1/3
x = -0.333
Thus, the x-intercept is: (-0.333, 0)
Thus:
- The y-intercept : (0, 1)
- The x-intercept : (-0.333, 0)
The graph of the line y = 3x +1 with the y-intercept (0, 1) and (-1/3, 0) is attached below.
The given graph doesn't represent a function, as it has two values of y for a single value of x ( that is : for x = 3 it has two solutions, -3 and -6 )
therefore it can't be considered as a function ~