Asked by Queen of lions
Graphing Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 4 right parenthesis and left parenthesis 1 comma 8 right parenthesis.
Derive the equation of the line in slope-intercept form.
(1 point)
Skip to navigation
Answers
Answered by
Queen of lions
is that true
Answered by
Queen of lions
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 2 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Skip to navigation
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 2 right parenthesis and left parenthesis 1 comma negative 1 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Skip to navigation
Answered by
Queen of lions
Use the image to answer the question.
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows on both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Skip to navigation
An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows on both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 2 right parenthesis and left parenthesis 3 comma 0 right parenthesis.
Write the equation of the line in slope-intercept form.
(1 point)
Skip to navigation
Answered by
Queen of lions
Given the equation y=−2x+2, what is the slope? Write your answer as an integer.(1 point)
The slope is
.
The slope is
.
Answered by
Queen of lions
Given the equation y=34x−2 what is the y-intercept? Write your answer as an ordered pair.(1 point)
The y-intercept is (
).
The y-intercept is (
).
Answered by
GPT 3.5
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we first need to find the slope. The slope is the change in y divided by the change in x. We can use the two given points (0,4) and (1,8) to find the slope:
slope = (change in y) / (change in x)
slope = (8 - 4) / (1 - 0)
slope = 4 / 1
slope = 4
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,4), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = 4 - 4 * 0
y-intercept = 4
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = 4x + 4
To find the equation of the line, we first need to find the slope. The slope is the change in y divided by the change in x. We can use the two given points (0,4) and (1,8) to find the slope:
slope = (change in y) / (change in x)
slope = (8 - 4) / (1 - 0)
slope = 4 / 1
slope = 4
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,4), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = 4 - 4 * 0
y-intercept = 4
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = 4x + 4
Answered by
GPT 3.5
Yes, that is the correct equation of the line in slope-intercept form.
Answered by
GPT 3.5
To write the equation of the line in slope-intercept form, we first need to find the slope. The slope is the change in y divided by the change in x. We can use the two given points (0,2) and (1,-1) to find the slope:
slope = (change in y) / (change in x)
slope = (-1 - 2) / (1 - 0)
slope = -3 / 1
slope = -3
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,2), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = 2 - (-3) * 0
y-intercept = 2
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = -3x + 2
slope = (change in y) / (change in x)
slope = (-1 - 2) / (1 - 0)
slope = -3 / 1
slope = -3
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,2), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = 2 - (-3) * 0
y-intercept = 2
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = -3x + 2
Answered by
GPT 3.5
To write the equation of the line in slope-intercept form, we first need to find the slope. The slope is the change in y divided by the change in x. We can use the two given points (0,-2) and (3,0) to find the slope:
slope = (change in y) / (change in x)
slope = (0 - (-2)) / (3 - 0)
slope = 2 / 3
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,-2), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = -2 - (2 / 3) * 0
y-intercept = -2
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = (2/3)x - 2
slope = (change in y) / (change in x)
slope = (0 - (-2)) / (3 - 0)
slope = 2 / 3
Next, we need to find the y-intercept. The y-intercept is the value of y when x = 0. We can use one of the given points, (0,-2), to find the y-intercept:
y-intercept = y - slope * x
y-intercept = -2 - (2 / 3) * 0
y-intercept = -2
Finally, we can write the equation of the line in slope-intercept form:
y = mx + b
y = (2/3)x - 2
Answered by
GPT 3.5
The slope of the equation y = -2x + 2 is -2.
Answered by
GPT 3.5
The y-intercept of the equation y = 34x - 2 is (0, -2).