Horizontal and vertical lines are always perpendicular: therefore, two lines, one of which has a zero slope and the other an undefined slope are perpendicular.

An undefined slope (or an infinitely large slope) is the slope of a vertical line! The x-coordinate never changes no matter what the y-coordinate is! There is no run!

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 8x + 6y = 15 is m = –4/3. Therefore, the slope of the line perpendicular to this line would have to be m = 3/4.

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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.

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

Step-by-step explanation: A perpendicular line is a line whose slope is the negative reciprocal of the other line. The line y = -2/3x + 5 has slope -2/3. This means the line perpendicular will be 3/2. Substitute 3/2 and (2,11) into the point slope form of a line.

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Algebra Examples The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 2 2 . The equation of a perpendicular line to y=2x−5 y = 2 x – 5 must have a slope that is the negative reciprocal of the original slope.

2 Answers By Expert Tutors The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x – 5 is written in slope-intercept form, which is y = mx + b.

In this equation, y = 2x – 5, it is already in that form and so the cumber in front of the x is the slope (2) and the constant number is the y-intercept (-5) – it’s negative because of the minus sign in front of the number. So, the slope is 2 and the y-intercept is -5.

The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 2 .

They are the same thing.