Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x
1 answer:
Answer:
MN = 4
Step-by-step explanation:
Given that L, M, N are collinear,
LN = 9,
MN = 4x
LM = 5x
Required:
Length of MN
SOLUTION:
To calculate the numerical length of MN, we need to find the value of x.
To find the value of x, generate an equation to solve for x as follows:
(segment addition postulate)
(substitution)
Solve for x
Divide both sides by 9
MN = 4x
plug in the value of x
MN = 4(1) = 4
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Answer:
The point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
Step-by-step explanation:
We know that the slope-intercept form of the line equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Given
- The point (-6, -3)
- The slope m = 2/3
Using the point-slope form
where
- m is the slope of the line
- (x₁, y₁) is the point
In our case:
- m = 2/3
- (x₁, y₁) = (-6, -3)
substituting the values m = 2/3 and the point (-6, -3) in the point-slope form
Subtract 3 from both sides
comparing with the slope-intercept form y=mx+b
Here the slope = m = 2/3
Y-intercept b = 1
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
Given the line
at x = 0, y = 1
Thus, the point (0, 1) represents the y-intercept.
Hence, the y-intercept (0, 1) is on the same line.
