To find the equation of a linear function, we need to determine the slope (m) and the y-intercept (b).
To find the slope, we can use the formula: m = (change in y) / (change in x).
In this case, the change in y is -3 - 10 = -13, and the change in x is 6 - 18 = -12.
So, the slope is -13 / -12 = 13/12.
To find the y-intercept, we can plug one of the given points into the equation y = mx + b and solve for b.
Using the point (18, 10), we have: 10 = (13/12)(18) + b
Simplifying, 10 = 39/2 + b
Subtracting 39/2 from both sides, b = 10 - 39/2 = 20/2 - 39/2 = -19/2.
Therefore, the equation of the linear function is y = (13/12)x - (19/2), which corresponds to option B.
Use the table to answer the question.
X | Y
18 | 10
6 | -3
Write the equation of the linear function represented by the table. (1 point)
A. y = -19/2
B. y = (13/12)x - (19/2)
C. y = (-13/12)x + (7/2)
D. y = (12/13)x - (111/13)
IM BEGGING FOR HELP DUDE
1 answer