Respuesta :
Answer:
Step-by-step explanation:
y - y1 = m(x - x1)
slope(m) = -1
(-1,5)....x1 = -1 and y1 = 5
now we sub
y - 5 = -1(x - (-1)...not done yet...we can simplify this
y - 5 = -1(x + 1) <===
Question:
Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x, y1) = (6, 6)
(x2, y2) = (-6, 1)
m = y2- y1 / x2 - x1
m = 1 - 6 / -6 - 6 = -5/12
y - y1 = m (x - x1)
y - 6 = -5/12 (x - 6
The point-slope form of the line that passes through the point (6, 6) and (-6, 1) is y - 6 = -5/12 (x - 6)
Question:
Which of the following options represents the form of a linear equation that should be used to write the equation of a line when the slope and a point on the line are given?
A) factored form
B) standard form
C) point-slope form
D) general form
Answer:
The answer is C) point-slope form
Question:
Write the point-slope form of the equation of the line that passes through the point (-1, 5) and has a slope of -1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y2) = ( -1, 5)
m = -1
y - y1 = m (x - x1)
y - 5 = -1 (x + 1)
The point-slope form of the line that passes through the point (-1, 5) and has a slope of -1 is y - 5 = -1 (x + 1)
Question:
Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (-8, 2)
(x2, y2) = (1, -4)
m = y2 - y1 / x2 - y2
m = -4 - 2 / 1 - (-8) = -6/9 = -2/3
y - y1 = m (x - x1)
y - 2 = -2/3 (x - (-8)
y - 2 = -2/3 (x + 8)
The point-slope form of the line that passes through the point (-8, 2) and (1, -4) is y - 2 = -2/3 (x + 8)
Question:
A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line. Type your answer in the box provided to submit your solution.
Answer:
Undefined Slope, they both have the same x coordinates.
Question:
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (-1, 0)
m = -2
y- y1 = m (x - x1)
y - 0 = -2 (x - (-1))
y - 0 = -2 (x + 1)
The point-slope form of the line that passes through the point -1 and has a slope of -2 is y - 0 = -2 (x+1)
Question:
Write the point-slope form of the equation of the line that passes through the point (1, 3) and has a slope of 2. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (1, 3)
m = 2
y - y1 = m (x - x1)
y - 3 = 2 (x - 3)
The point-slope form of the line that passes through the point (1, 3) and has a slope of 2 is y - 3 = 2 (x - 3)
Question:
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Answer:
(x1, y1) = (-3, 5)
(x2, y2) = (-1, 4)
m = y2 - y1 / x2 -x1
M= 4 - 5 / -1 - (-3) = -1/2
y - y1 = m (x - x1)
y - 5 = -1/2 (x - (-3))
y - 5 = -1/2 (x + 3)
The point-slope form of the line that passes through the point (-3, 5) and (-1, 4) is y - 5 = -1/2 (x + 3)
Question:
Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (6, 6)
(x2, y2) = (-6, 1)
m = y2- y1 / x2 - x1
m = 1 - 6 / -6 - 6 = -5/12
y - y1 = m (x - x1)
y - 6 = -5/12 (x - 6)
The point-slope form of the line that passes through the point (6, 6) and (-6, 1) is y - 6 = -5/12 (x - 6)
Question:
Write the point-slope form of the equation of the line that passes through the points (5, -9) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (5, -9)
(x2, y2) = (-6, 1)
m= y2 - y1 / x2 - x1
m= 1 - (-9) / -6 - 5 = -10/11
y - y1 = m (x - x1)
y - (-9) = -10/11 (x - 5)
y + 9 = -10/11 (x - 5)
The point-slope form of the line that passes through the point (5, -9) and (-6, 1) is y + 9 = -10/11 (x - 5)
Question:
Write the point-slope form of the equation of the line that passes through the points (6, -9) and (7, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
(x1, y1) = (6, -9)
(x2, y2) = (-7, 1)
m = y2- y1 / x2 - x1
m = 1- (-9)/ -7 - 6 = -10/12 = -5/6
y - y1 = m (x - x1)
y - 9 = -5/6 (x - 6)
The point-slope form of the line that passes through the point (6, -9) and (7, 1) is y - 9 = -5/6 (x - 6)
Hope this helps people :)
