Answer:
1. m= 1/2 b=3
2. m= 1/2 b=-2
3 and 4. answered below
5. The point of intersection is where two lines intersect.
Step-by-step explanation:
you have -x+2y=6. finding the slope is very easy, you just have to isolate y.
2y=6+x ---> y = 3+ x/2. The slope would be 1/2 for the first one. the y intercept would be 3.
To graph, there are different ways of doing it. You can do it by finding the y intercept and x intercept, by making a chart and finding plotting points, or you can do it graphing the y intercept and doing rise over run from there.
The
Step-by-step explanation:
given
also given
therefore
Answer:
parallel
Step-by-step explanation:
The "work" is to recognize that both equations describe horizontal lines. All horizontal lines on the Cartesian coordinate grid are parallel.
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<em>Additional comment</em>
y = constant . . . . . a horizontal line (y=0 is the x-axis)
x = constant . . . . . a vertical line (x=0 is the y-axis)
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If you wanted to go to the trouble, you could compare the equation ...
y = constant
to the slope-intercept form ...
y = mx +b
Your comparison would note that m=0. That is, the slope is zero, so the line is horizontal. All lines with the same (zero) slope are parallel.
Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
