1. Which equation has a graph parallel to the graph of 9x+3y=-22
A. y= 3x-22
B. y= -3x+8
C. y= 1/3x+12
D. y= -1/3x-2
To determine which equation has a graph parallel to the given equation, we need to compare the slope of the given equation with the slopes of the answer choices.
The given equation, 9x + 3y = -22, can be rearranged to slope-intercept form (y = mx + b) by solving for y:
3y = -9x - 22
y = -3x - 22/3
Now, let's compare the slope (-3) of the given equation with the slopes of the answer choices:
A. y = 3x - 22: The slope of this equation is 3, which is not equal to -3, so it is not parallel to the given equation.
B. y = -3x + 8: The slope of this equation is -3, which matches the slope of the given equation, making it parallel.
C. y = (1/3)x + 12: The slope of this equation is 1/3, which is not equal to -3, so it is not parallel to the given equation.
D. y = (-1/3)x - 2: The slope of this equation is -1/3, which is not equal to -3, so it is not parallel to the given equation.
Therefore, the equation that has a graph parallel to the graph of 9x + 3y = -22 is B. y = -3x + 8.
you can write
9x+3y=-22
as
3y = -9x-22
y = -3x - 22/3
So, pick the choice with the same slope.