Which equation has the graph parallel to the graph 9x + 3y =-22
y=3x-22****
y=-3x + 8
y=1/3x + 12
y = -1/3x-2
Please check my answer
nope.
9x+3y = -22 has slope -3
better review how to find the slope.
Write your equation in explicit form:
y = m x + n
where:
m is the slope of the line
n is the y intercept
9 x + 3 y = - 22 Subtract 9 x to both sides
9 x + 3 y - 9 x = - 22 - 9 x
3 y = - 9 x - 22 Divide both sides by 3
y = - 9 x / 3 - 22 / 3
y = - 3 x - 22 / 3
Parallel lines have the same slope m
In this case m = - 3
Line with slope m = - 3 is:
y = - 3 x + 8
So:
9 x + 3 y = - 22 and y = - 3 x + 8
are parallel lines
To determine which equation has a graph parallel to the equation 9x + 3y = -22, we need to compare the slopes of the lines. The given equation is in the form of ax + by = c, where the slope can be found by rearranging the equation in the slope-intercept form y = mx + b, where m is the slope.
The equation is 9x + 3y = -22.
Step 1: Rearrange the equation in the slope-intercept form.
3y = -9x - 22
y = (-9/3)x - 22/3
y = -3x - 22/3
The slope of the given equation is -3.
Now let's check the options:
1) y = 3x - 22
The slope of this equation is 3. This line is not parallel to the given equation (slope = -3), so this option is incorrect.
2) y = -3x + 8
The slope of this equation is -3. This line is parallel to the given equation (slope = -3), so this option is correct.
3) y = (1/3)x + 12
The slope of this equation is 1/3. This line is not parallel to the given equation (slope = -3), so this option is incorrect.
4) y = (-1/3)x - 2
The slope of this equation is -1/3. This line is not parallel to the given equation (slope = -3), so this option is incorrect.
Therefore, the correct answer is y = -3x + 8, which has a graph parallel to the given equation 9x + 3y = -22.