The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains
2 answers:
The equation of line parallel to y = 2x + 4 containing point (3, −2) is:
Step-by-step explanation:
Given equation is:
y = 2x + 4
The given equation is in slope-intercept form the co-efficient of x will be the slope of line is: 2
The slope of the line parallel to given line will also be 2 as the slopes of parallel lines are equal.
So,
m=2
Slope-intercept form of equation of line is:
Putting the value of slope
To find the value of b, putting (3,-2) in the equation
Putting the values of b and m
The equation of line parallel to y = 2x + 4 containing point (3, −2) is:
Keywords: Slope, Equation of line
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Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as
Whereas the area of a circle for a radius r is given as
Now the ratio is given as
Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to
Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.