The linear function which represents the line given by the point slope equation y+1=-3(x-5) is f(x) =-3x+14 which is option D.
Given the equation y+1=-3(x-5) and we have to find the equation of line that represents this equation.
An equation is a relationship between two or more variables which are expressed in equal to form. Equation of two variables looks like ax+ by=c. It is solved in order to get the values of variables. Linear function is like equation whose graph shows a straight line.
We have to just find out the value of y in terms of x to find the linear function which can be done as under:
y+1=-3x(x-5)
y+1=-3x+15
y=-3x-1+15
y=-3x+14
Hence y=-3x+14 is the linear equation which represents the point slope equation y+1=-3(x-5).
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