Linear equation in variables x and y can be written in the form y=mx+c. The correct option is D.
A linear equation is an equation in which each term has at max one degree. Linear equation in variables x and y can be written in the form y=mx+c.
Linear equation with two variables, when graphed on the cartesian plane with axes of those variables, give a straight line.
The complete question is:
Which linear function represents the line given by the point-slope equation y – 2 = 4(x – 3)?
A. f(x) = 6x – 1
B. f(x) = 8x – 6
C. f(x) = 4x – 14
D. f(x) = 4x – 10
The given point-slope equation is solved for y will give the equation of the line in the form of a function. Therefore,
y – 2 = 4(x – 3)
y – 2 = 4x - 12
y = 4x - 12 + 2
y = 4x -10
f(x) = 4x - 10
Hence, the correct option is D.
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