To derive the equation of the line in slope-intercept form, we first need to find the slope (m) using the two points (0,4) and (1,8).
m = (y2 - y1) / (x2 - x1)
m = (8 - 4) / (1 - 0)
m = 4 / 1
m = 4
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
y - 4 = 4(x - 0)
y - 4 = 4x
Finally, rewriting the equation in slope-intercept form (y = mx + b) where b is the y-intercept:
y = 4x + 4
Therefore, the equation of the line in slope-intercept form is y = 4x + 4.
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)
5 answers
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)
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)
To find the equation of the line in slope-intercept form, we first need to determine the slope of the line using the two points (0,2) and (1,-1).
m = (y2 - y1) / (x2 - x1)
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
y - 2 = -3(x - 0)
y - 2 = -3x
Finally, rewrite the equation in slope-intercept form (y = mx + b) where b is the y-intercept:
y = -3x + 2
Therefore, the equation of the line in slope-intercept form is y = -3x + 2.
m = (y2 - y1) / (x2 - x1)
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that we have the slope, we can use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
y - 2 = -3(x - 0)
y - 2 = -3x
Finally, rewrite the equation in slope-intercept form (y = mx + b) where b is the y-intercept:
y = -3x + 2
Therefore, the equation of the line in slope-intercept form is y = -3x + 2.
Graphing Equations Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 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 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)
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Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 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 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 find the equation of the line in slope-intercept form, we first need to determine the slope using the two points (0, -2) and (3, 0).
m = (y2 - y1) / (x2 - x1)
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now that we have the slope, we can use one of the points to find the y-intercept (b) in the equation y = mx + b. Let's use point (0, -2).
-2 = (2/3)(0) + b
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
m = (y2 - y1) / (x2 - x1)
m = (0 - (-2)) / (3 - 0)
m = 2 / 3
Now that we have the slope, we can use one of the points to find the y-intercept (b) in the equation y = mx + b. Let's use point (0, -2).
-2 = (2/3)(0) + b
b = -2
Therefore, the equation of the line in slope-intercept form is:
y = (2/3)x - 2
1 answer