Which equation has a graph parallel to the graph of 6x + 9y = 17?
An equation that has a graph parallel to the graph of 6x + 9y = 17 would have the same slope.
To find the slope of 6x + 9y = 17, we can rearrange the equation to slope-intercept form (y = mx + b), where m represents the slope:
6x + 9y = 17
9y = -6x + 17
y = (-6/9)x + 17/9
From the equation y = (-6/9)x + 17/9, we can see that the slope is -6/9, which can be simplified to -2/3.
So, an equation with a graph parallel to the graph of 6x + 9y = 17 would have a slope of -2/3.
One possible equation with that slope is y = (-2/3)x + b, where b is any real number.