Determine if Parallel y=3x-4 ; y=-3x+2

$y = 3 x - 4$ ; $y = - 3 x + 2$

Step 1

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m_{1} = 3$

$b = - 4$

$m_{1} = 3$

$b = - 4$

Step 2

Use the slope-intercept form to find the slope and y-intercept.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m_{2} = - 3$

$b = 2$

$m_{2} = - 3$

$b = 2$

Step 3

Compare the slopes $m$ of the two equations.

$m_{1} = 3, m_{2} = - 3$

Step 4

Compare the two slopes in the decimal form. If the slopes are equal, then the lines are parallel. If the slopes are not equal, then the lines are not parallel.

$m_{1} = 3, m_{2} = - 3$

Step 5

The equations are not parallel because the slopes of the two lines are not equal.

Not Parallel

Step 6

Determine if Parallel y=3x-4 ; y=-3x+2

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