The line y = 2x
If you put it into the form y = mx + b, you have y = 2x + 0 so the slope is 2.
Lines parallel to that line have the same slope, 2.
Perpendicular lines have slopes that multiply to -1. The slope of a perpendicular line to a line of slope 2 would be -1/2.
Equation of given line: 3x + y = 15 or y = -3x + 15 Slope of given line = coefficient of x = -3 Slope of perperndicular = -1/(slope of given line) = -1 / (-3) = 1/3
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
Two parallel lines have equal slopes.
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To find the slope of a perpendicular line, take the negative reciprocal of the slope of the given line. (Flip the top and bottom of the fraction and change the sign.) The slope of 3 can be written as 3/1. The slope of a line that is perpendicular is -1/3.
Here are the key steps:* Find the midpoint of the given line. * Find the slope of the given line. * Divide -1 (minus one) by this slope, to get the slope of the perpendicular line. * Write an equation for a line that goes through the given point, and that has the given slope.
Slope is easy. Just remember rise over run or change in y over change in x.Pick two points on the line: (x1, y1) and (x2, y2)The slope of the line is (y2-y1)/(x2-x1)How to find the slope if you are given two points:The equation for the slope of a line is (y2-y1)/(x2-x1). For example, if you have the points (4,8) and (7,6), the slope is (6-8)/(7-4), which is (-2)/3, which is -2/3. You can switch the x's and y's in the equation and get the same result, so you can rewrite the equation as (y1-y2)/(x1-x2). Using the points (4,8) and (7,6), the slope is (8-6)/(4-7), which is (2)/(-3), which is also -2/3.If you end up with 0 on the bottom (such as 4/0), the slope is undefined (since the line goes straight up and down.)How to find slope if you are given the equation of a line in slope-intercept form:See the related question below, "How_do_you_find_the_slope_of_an_equation".How to find slope if you are given the equation of a line in point-slope form:See the related question below, "How_do_you_find_the_slope_of_an_equation".How to find the slope if you are given the equation of a line in standard form:See the related question below, "How_do_you_find_the_slope_of_an_equation".How to find slope if you are given the graph of a line:See the related question below, "How_do_you_find_slope_on_a_graph".How to find the slope of a parallel or perpendicular line:The slope of a line parallel to a line with at given slope is the same as the line with the given slope. For example, the slope of a line parallel to a line with a slope of 3/2 is 3/2, and the slope of a line parallel to a line with a slope of -5 is -5.The slope of a line perpendicular to a line with a given slope is the negative reciprocal of the slope if the given line. Flip the bottom and top of the fraction, and then change the sign. For example, the slope of a line perpendicular to a line with a slope of 5/4 is -4/5. The slope of a line perpendicular to a line with a slope of 5 is -1/5. The slope of a line perpendicular to a line with a slope of -3/2 is 2/3.
Oh, dude, finding the slope of a line parallel to another line is like finding a matching sock in a pile of laundry. The slope of a line parallel to y = 4x - 2 is just the same as the slope of the original line, which is 4. So, like, the slope of the parallel line is also 4. Easy peasy lemon squeezy.
Slope of a line perpendicular to x-y=16
The slope of the perpendicular is -(1/2) .
Equation of given line: 3x + y = 15 or y = -3x + 15 Slope of given line = coefficient of x = -3 Slope of perperndicular = -1/(slope of given line) = -1 / (-3) = 1/3
Parallel lines have the same slope. So if you know the slope of a line in question, or you can calculate it, then you know the slope of any line parallel to that line.
You are missing either a + or a - in 32x 12y12 You must have meant either 32x+12y12 or 32x-12y12. Also, if you probably meant to compare the two, they should have been equations to describe a line. Probably you meant 3x-8y12=0 and 32x+-12y12=0. Then you could have gotten the slope of the lines by rearranging the equations to the form y=mx+b. m is the slope of the line. If they have the same slope, they would be parallel. If they had opposite slope, they would be perpendicular. In this case, after rearranging the equations, you will find that they have neither the same slope nor opposite slopes; so they are neither parallel nor perpendicular.
Here is how to solve it. First, find the slope of the given line. To do this, solve the equation for "y". That will convert the equation to the slope-intercept form. From there, you can immediately read off the slope. Since parallel lines have the same slope, the line you are looking for will have the same slope. Now you need to use the point-slope form of the equation, with the given point, and the slope you just calculated. Finally, solve this equation for "y" to bring it into the requested slope-intercept form.
Well parallel lines have the same slopes....if you find the slope of a parallel that it the slope of the other line.....usaully you put this slope into Point-Slope Formula (y-1)= m(x-1) + 1 to find the answer as of Y=
If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.