Equations of Linear Functions Quick Check 1 of 51 of 5 Items Question Interpret the equation y=−4x+10. What type of function does this equation define? Describe its graph.(1 point) Responses This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10. This is a linear function. Its graph is a straight line with a slope of negative 4 and a y -intercept of 10. This is a linear function. Its graph is a straight line with a y-intercept of −4 and a slope of 10. This is a linear function. Its graph is a straight line with a y -intercept of negative 4 and a slope of 10. This is a nonlinear function. Its graph has a maximum at (0,10). This is a nonlinear function. Its graph has a maximum at left parenthesis 0 comma 10 right parenthesis . This is a nonlinear function. Its graph is a curve.
11 answers
This is a linear function. Its graph is a straight line with a slope of −4 and a y-intercept of 10.
The equation of a function is y=2x−6 . If this function were graphed, what would its y -intercept be?(1 point)
Responses:
2
−3
6
−6
Responses:
2
−3
6
−6
The y-intercept for the function y = 2x - 6 is -6.
Use the table to answer the question. x y 4 38 6 58 Write the equation of the linear function that models the relationship shown in the table. (1 point) Responses y=10x−2 y equals 10 x minus 2 y=10x+2 y equals 10 x plus 2 y=x+34 y equals x plus 34 y=−10x+78
To find the equation of the linear function, we need to determine the slope using the two points given in the table.
Slope (m) = (change in y) / (change in x)
Slope = (58 - 38) / (6 - 4)
Slope = 20 / 2
Slope = 10
Now, we choose one point from the table to substitute into the general form of a linear equation y = mx + b to solve for the y-intercept (b).
Using the point (4, 38):
38 = 10(4) + b
38 = 40 + b
b = 38 - 40
b = -2
Therefore, the equation of the linear function is y = 10x - 2.
The correct response is: y = 10x - 2
Slope (m) = (change in y) / (change in x)
Slope = (58 - 38) / (6 - 4)
Slope = 20 / 2
Slope = 10
Now, we choose one point from the table to substitute into the general form of a linear equation y = mx + b to solve for the y-intercept (b).
Using the point (4, 38):
38 = 10(4) + b
38 = 40 + b
b = 38 - 40
b = -2
Therefore, the equation of the linear function is y = 10x - 2.
The correct response is: y = 10x - 2
Oliwia is opening a bank account. She learns that there is a special promotion where if she deposits $3,000 and then makes no additional deposits or withdrawals, her account will earn $3 in interest per month. Write the equation of a linear function that models the relationship between number of months and total amount of money Oliwia will have in her account.(1 point) Responses y=3x+1,000, where x is the number of months and y is the total amount of money Oliwia will have in her account. y equals 3 x plus 1,000 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y=1,000x+3, where x is the number of months and y is the total amount of money Oliwia will have in her account. y equals 1,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y=3,000x+3, where x is the number of months and y is the total amount of money Oliwia will have in her account. y equals 3,000 x plus 3 , where x is the number of months and y is the total amount of money Oliwia will have in her account. y=3x+3,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.
The equation of a linear function that models the relationship between the number of months and the total amount of money Oliwia will have in her account is:
y = 3x + 3000
So, the correct response is: y = 3x + 3,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.
y = 3x + 3000
So, the correct response is: y = 3x + 3,000, where x is the number of months and y is the total amount of money Oliwia will have in her account.
Use the image to answer the question. Write the equation of the linear function shown on the graph. (1 point) Responses y=−2x+2 y equals negative 2 x plus 2 y=−2x−2 y equals negative 2 x minus 2 y=2x−2 y equals 2 x minus 2 y=2x+2 y equals 2 x plus 2 Skip to navigation
In the image, the linear function passes through the point (0, 2) and has a slope of -2.
Therefore, the equation of the linear function shown on the graph is:
y = -2x + 2
So, the correct response is: y = -2x + 2
Therefore, the equation of the linear function shown on the graph is:
y = -2x + 2
So, the correct response is: y = -2x + 2
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