What is the next to 12 21 23 32 34 43
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The equation of the parallel line in slope-intercept form is;
y = x -
Step-by-step explanation:
Let us revise some facts about parallel lines
The equations of two parallel lines have:
- Same slopes
- Different y-intercept
The slope-intercept form of the equation of a line is y = m x + b, where m is the slope of the line and b is the y-intercept
The given line has equation 5x - 2y = 10
Put it in the form of y = m x + b to find its slope
∵ 5x - 2y = 10
- Subtract 5x from both sides
∴ -2y = 10 - 5x
- Divide to sides by -2
∴ y = -5 + x
∴ y = x - 5
- The value of m is the coefficient of x
∴ m =
∴ The slope of the given line is
∵ Parallel lines have same slopes
∴ The slope of the parallel line is m =
- Substitute the value of m in the form of the equation
∴ The equation of the parallel line is y = x + b
To find b substitute x and y in the equation by the coordinates of any point lies on the line
∵ The parallel line passes through point (3 , -5)
- Substitute x and y by the coordinates of the point (3 , -5)
∵ x = 3 and y = -5
∴ -5 = (3) + b
∴ -5 = + b
- Subtract from both sides
∴ b =
∴ The equation of the parallel line is y = x +
∴ The equation of the parallel line is y = x -
The equation of the parallel line in slope-intercept form is;
y = x -
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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Let's assume
height of plane in feet =h
time in minutes =t
we are given
A plane is descending into the airport. After 5 minutes it is at a height of 6500 feet
so, we get one point as (5,6500)
After 7 minutes it is at a height of 5900 feet
so, we get another point as (7,5900)
we can use point slope form of line
points as
(5,6500)
x1=5, y1=6500
(7,5900)
x2=7 , y2=5900
Calculation of slope(m):
now, we can plug values
Equation of line:
we can use formula
we can plug values
Time of landing:
we can set h=0
and then we can solve for t
..............Answer