Answer:
D
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
If m > 0 , then line slopes upwards from left to right
If m < 0 , then line slopes downwards from left to right
y = 3x - 2
has m > 0 and c = - 2 , thus line slopes upwards crossing the y- axis at - 2
y = - 2x + 3
has m < 0 and c = 3, thus line slopes downwards crossing the y- axis at 3
on the graph this is the lower blue line and the red line
the solution to the system is at the point of intersection of the 2 lines
This is at point D
The line that is horizontal on a graph
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Answer: The common ratio is -1/3
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Work Shown:
Pick any term to divide it by the previous term. I'm going to pick the second term and divide it by the first term.
r = common ratio
r = (term 2) divided by (term 1)
r = (4/9) divided by (-4/3)
r = (4/9) * (-3/4)
r = (4*(-3))/(9*4)
r = -12/36
r = -1/3
The common ratio is -1/3
This means you multiply each term by -1/3 to get the next term
For instance
term 2 = r*(term 1)
term 2 = (-1/3)*(-4/3)
term 2 = ((-1)*(-4))/(3*3)
term 2 = 4/9
Okay we'll go through all the steps. Ready?
