Parallel line have a same slope so in order to find if the two lines are parallel,write the equations in slope intercept form and see if they have same slopes or not.

1 Expert Answer Yes. Two lines are perpendicular if their slopes are negative reciprocals. Thus, the two lines are perpendicular.

Algebra Examples Using the slope-intercept form, the slope is −3 – 3 . The equation of a perpendicular line to y=−3x+5 y = – 3 x + 5 must have a slope that is the negative reciprocal of the original slope.

We are only worried about the slope for the purposes of this question. y = 3x + 5 and y = 5x + 3 both have positive slopes (m = 3 and m = 5, respectively), so they aren’t perpendicular. y = 3x/5 – 3 and y = 5x/3 + 3 both have positive slopes, so again they aren’t perpendicular.

So the line perpendicular to y = 3x – 2 has a slope of -1/3. That’s the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.

In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.

Step-by-step explanation: Solving 2x – y = 4 for y yields y = 2x – 4. The slope here is 2. Any line perpendicular to 2x – 4 must have a slope of -1/2, which is the negative reciprocal of m = 2.

Step-by-step explanation: The slope is -5/3. SInce parallel lines have the same slope, the slope for a parallel line will be -5/3.

1 Answer. In order to be parallel to your line, a line has to have the same slope as your line. So it has to have slope −4. Thus any line parallel to the line y=−4x+5 has an equation of the form y=−4x+b, where b is any number.

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