Graphing Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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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)
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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
is that true
Yes, that is the correct equation of the line in slope-intercept form.
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)
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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
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
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
Given the equation y=−2x+2, what is the slope? Write your answer as an integer.(1 point)
The slope is
.
The slope of the equation y = -2x + 2 is -2.
Given the equation y=34x−2 what is the y-intercept? Write your answer as an ordered pair.(1 point)
The y-intercept is (
).