the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to li
ne a. Point (0, 5) lines on both line b and line t.
1 answer:
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A. The equation of the line is y = -0.2 x + 1.9
B. The equation of the line is y = 4 x + 3
C. The equation of the line is y = -8
D. The equation of the line is y = 2 x + 4
Step-by-step explanation:
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 formula of the slope of a line which passes through points
and
is
- The slope of a horizontal line whose equation y = b is zero
- The y-intercept means the line intersect the y-axis at point (0 , b)
A.
∵ The line passes through points (2 , 1.5) and (-5 , 36.5)
∴ = 2 and
= -5
∴ = 1.5 and
= 36.5
∵
∴
∴ m = -0.2
∵ y = m x + b
∵ m = -0.2
∴ y = -0.2 x + b
- To find b substitute x and y in the equation by the coordinates of
one of the two given points
∵ x = 2 and y = 1.5
∴ 1.5 = -0.2(2) + b
∴ 1.5 = - 0.4 + b
- Add 0.4 to both sides
∴ 1.9 = b
∴ y = -0.2 x + 1.9
The equation of the line is y = -0.2 x + 1.9
B.
∵ m = 4
∵ y = m x + b
∴ y = 4 x + b
∵ Point (3 , 15) lies on the line
- To find b substitute x and y in the equation by the coordinates
of the given point
∵ x = 3 and y = 15
∴ 15 = 4(3) + b
∴ 15 = 12 + b
- Subtract 12 from both sides
∴ 3 = b
∴ y = 4 x + 3
The equation of the line is y = 4 x + 3
C.
∵ The line has the same slope of line y = 1
- The line whose equation y = 1 is a horizontal line
∵ The slope of the line y = 1 is zero because it is a horizontal line
∴ m = zero
∵ y = m x + b
∴ The equation of the line is y = (0)x + b
∴ y = b
∵ The line passes through point (3 , -8)
- In the horizontal line the y-coordinates of all point lie on the line
are equal
∴ The line intersect the y-axis at point (0 , -8)
∴ b = -8
∴ y = -8
The equation of the line is y = -8
D.
∵ m = 2
∵ y-intercept is at point (0 , 4)
∴ b = 4
∵ y = m x + b
∴ y = 2 x + 4
The equation of the line is y = 2 x + 4
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Answer:
Approximately 45% students signed up for neither canoeing or trekking.
Step-by-step explanation:
First we subtract the number of the students who signed up from the number of the total students to find the number of the students who did not signed up for either.
But there are 13 students who signed up canoeing and also for trekking.
Hence the number of students they signed up for activity is
72 + 23 - 13 = 82
And the number of students they not signed up for any activity is
150 - 82 = 68
so 68 students signed up neither for trekking nor canoeing. The percentage of those students are :
× 100 = 45.3333%
Approximately 45% students signed up for neither canoeing or trekking.
Answer:
Step-by-step explanation:
ab² * ab³ * a²b
a^4 b^6