Which equation has a graph parallel to the graph of 9x+3y=-22?
Any equation with the same slope as 9x+3y=-22 will have a graph that is parallel to it.
To find the slope of the equation 9x+3y=-22, we can rewrite it in slope-intercept form, y = mx + b, where m represents the slope.
Starting with the equation 9x+3y=-22, we can isolate y by subtracting 9x from both sides:
3y = -9x - 22
Dividing both sides by 3, we get:
y = -3x - 22/3
Comparing this to y = mx + b form, we see that the slope, m, is -3.
Therefore, any equation with a slope of -3 will be parallel to the graph of 9x+3y=-22.
For example, the equation 3x + y = 4 has a slope of -3 and will have a graph parallel to the graph of 9x+3y=-22.