Which equation has a graph parallel to the graph of 9x + 3y = -22
Y = 3x - 22
Y = 3x + 8
Y = 1/3x + 12
Y = -1/3x - 2***
Please help @Ms. Sue
9x+3y=-22
y=-3y-22/3 slope is -3
None of those choices are parallel.
Y=-3x+8 is the correct answer
To determine the equation that has a graph parallel to the graph of 9x + 3y = -22, you need to find an equation with the same slope. The slope of a linear equation can be found by rearranging the equation in slope-intercept form (y = mx + b), where "m" is the slope.
Let's rearrange the given equation, 9x + 3y = -22, into slope-intercept form:
9x + 3y = -22
3y = -9x - 22
y = (-9/3)x - 22/3
y = -3x - 22/3
From the rearranged equation, you can observe that the slope (m) is -3.
Now, let's examine the answer choices:
a) Y = 3x - 22: The slope of this equation is 3, not -3.
b) Y = 3x + 8: The slope of this equation is 3, not -3.
c) Y = 1/3x + 12: The slope of this equation is 1/3, not -3.
d) Y = -1/3x - 2: The slope of this equation is -1/3, which is the same as the slope of the original equation.
Therefore, the equation Y = -1/3x - 2 has a graph parallel to the graph of 9x + 3y = -22.