5/25/23, 10:16 Week 3
PM Quiz
Week 3 BACK TO OVERVIEW
Quiz
Attempts
Attempt 2: 64% (16/25 points), …
Questions to show:
All (25)
QUESTION 1 · 0/1 POINTS
Find the equation of a line that contains the points (1, 8) and (8,
−6) . (Write the equation in slope-intercept form.)
That's not right.
y = 2x + 10
Answer Explanation
Correct answers:
y = −2x + 10
Since we have two points, we will find the equation of the line using point-slope form.
The first step will be to find the slope. Recall that the slope of the line through the
https://nightingale.instructure.com/courses/3430680/assignments/ 1/44
35291226
,5/25/23, 10:16 Week 3
PM points (x1, y1) and (x2, y2) is given by Quiz
https://nightingale.instructure.com/courses/3430680/assignments/ 2/44
35291226
,5/25/23, 10:16 Week 3
PM Quiz
m = y2 − y1 .
x2 − x1
Substituting the given points into this formula gives
m = −6 − (8)
8 − (1)
m = −14
7
m = −2.
Now that we have the slope m = −2 of the line and a point (x1, y1) = (1, 8) on the line, we can substitute
these values into the point-slope form of a line, y
− y1 = m(x − x1). The slope is
Slope:m = −2.
The point given is
Point:(1, 8).
Substituting these values into y − y1 = m(x − x1)and rewriting the resulting equation in point-slope form
gives
y − (8) = −2(x − (1)) y − 8 = −2x + 2
y = −2x + 10.
FEEDBACK
Content attribution
QUESTION 2 · 0/1 POINTS
4
Graph the line with a y-intercept of (0, 3) whose slope is m = .
3
That's not right.
https://nightingale.instructure.com/courses/3430680/assignments/ 3/44
35291226
, 5/25/23, 10:16 Week 3
PM Quiz
y
7
6
5
4
3
2
1
x
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
−1
−2
−3
−4
−5
−6
−7
Answer Explanation
Start by plotting the point (0, 3) .
Use the slope formula m=
rise to identify the rise and the run.
run
https://nightingale.instructure.com/courses/3430680/assignments/ 4/44
35291226
PM Quiz
Week 3 BACK TO OVERVIEW
Quiz
Attempts
Attempt 2: 64% (16/25 points), …
Questions to show:
All (25)
QUESTION 1 · 0/1 POINTS
Find the equation of a line that contains the points (1, 8) and (8,
−6) . (Write the equation in slope-intercept form.)
That's not right.
y = 2x + 10
Answer Explanation
Correct answers:
y = −2x + 10
Since we have two points, we will find the equation of the line using point-slope form.
The first step will be to find the slope. Recall that the slope of the line through the
https://nightingale.instructure.com/courses/3430680/assignments/ 1/44
35291226
,5/25/23, 10:16 Week 3
PM points (x1, y1) and (x2, y2) is given by Quiz
https://nightingale.instructure.com/courses/3430680/assignments/ 2/44
35291226
,5/25/23, 10:16 Week 3
PM Quiz
m = y2 − y1 .
x2 − x1
Substituting the given points into this formula gives
m = −6 − (8)
8 − (1)
m = −14
7
m = −2.
Now that we have the slope m = −2 of the line and a point (x1, y1) = (1, 8) on the line, we can substitute
these values into the point-slope form of a line, y
− y1 = m(x − x1). The slope is
Slope:m = −2.
The point given is
Point:(1, 8).
Substituting these values into y − y1 = m(x − x1)and rewriting the resulting equation in point-slope form
gives
y − (8) = −2(x − (1)) y − 8 = −2x + 2
y = −2x + 10.
FEEDBACK
Content attribution
QUESTION 2 · 0/1 POINTS
4
Graph the line with a y-intercept of (0, 3) whose slope is m = .
3
That's not right.
https://nightingale.instructure.com/courses/3430680/assignments/ 3/44
35291226
, 5/25/23, 10:16 Week 3
PM Quiz
y
7
6
5
4
3
2
1
x
−7 −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 7
−1
−2
−3
−4
−5
−6
−7
Answer Explanation
Start by plotting the point (0, 3) .
Use the slope formula m=
rise to identify the rise and the run.
run
https://nightingale.instructure.com/courses/3430680/assignments/ 4/44
35291226
