qus 1) find the solpe and the y-intercept(if possible) of the line: y=-1 2)write

Question

qus 1) find the solpe and the y-intercept(if possible) of the line: y=-1

2)write an equation of the line through the point (a) parallel to the given line and (b) perpendicular to the given line : point:(-6,4) line:3x+4y=7
3) True or false? determine whether the ststement is true of false. if it is false,explain why or give an example that shows it is false. ''it is possible for two lines with positive slopes to be perpendicular to each other''
4)find the domain and range of the function.a) g(x)=x^2-5 b) g(x)=2/x-1
5)find the domain of the function, g(x) = 1/ |x^2-4|

Explanation / Answer

1)y intercept=-1

b)slope=-3/4

for parallel line, (y-4)=(-3/4)*(x+6)

for perpendicular line (y-4)=(4/3)*(x+6)

3)False because if slope of a line is m ,slope of its perpendicular is -1/m, its clear that both cant be positive at the same time.

for instance a line has a slope 3(positive) ,than perpendicular to it has slope -1/3 (negative)

4)g(x)=2x^2-5 ,Domain and Range both is R (set of all real number)

g(x)=2/x-1 ,Domain is R-{1} and Range both is R (set of all real number)

5)Domains is R -{points at which x^2-4=0}

R-{-2,2}

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