The equation of line EF is y = 2x + 1. Write an equation of a line parallel to line EF in slope-intercept form that contains poi
2 answers:
Answer:
The equation of required line is y=2x+2.
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
Where, m is slope and b is y-intercept.
The equation of given line EF is
.... (2)
From (1) and (2), we get
The slope of the line is 2 and y-intercept is 1.
The slope of parallel lines are same. So, the slope of required line is 2.
The line passes through the point (0,2). It means the y-intercept of the line is 2.
Substitute m=2 and b=2 in equation (1), to find the equation of required line.
Therefore the equation of required line is y=2x+2.
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Answer:
The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is:
- Negative slope.
- Constant slope.
- Decreasing function.
Step-by-step explanation:
We are given a graph that represents the relationship between the Number of Balloons Hats and the number of balloons remaining.
Clearly from the graph we could that it is a linear function.
Also, the function is a decreasing function since with the increase of one variable that is the number of Balloon hats produced the other variable i.e. Balloons remaining is decreasing.
Also, we can calculate the slope of the line.
as the line is passing through (0,500) and (100,0)
Hence, the slope of line is:
Hence, the graph has a negative slope.
Also, we know that a slope of a line is always constant.
So, the correct statements are:
Negative slope.
Constant slope.
Decreasing function.