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12 wrz 2024 · Finding the equation of a line perpendicular to another line is a simple process that can be completed in two different ways. The first way is to solve for the equation of a line with one ( x , y ) {\displaystyle (x,y)} point and the equation of a line that runs perpendicular to it.
20 paź 2024 · To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve for y.
22 lip 2015 · Find the slope using the equation m= (y_2-y_1)/ (x_2-x_1), where m is the slope, and (x_1,y_1) and (x_2,y_2) are the two points on the line.
Check their y-intercepts (where they cross the y-axis) as well as their slope: Example: is y = 3x + 2 parallel to y − 2 = 3x ? For y = 3x + 2: the slope is 3, and y-intercept is 2. For y − 2 = 3x: the slope is 3, and y-intercept is 2. So they are the same line and so are not parallel.
To find the equation of a line, we need to know the slope and a point that passes through the line. Once we know this, we can use the equation where m is the slope of the line, and is a point on the line. For perpendicular lines, the slopes are negative reciprocals of each other.
How do you determine the equation of a line that is perpendicular to another? If there is no specific point that the perpendicular line must pass through, all lines with slopes that are opposite reciprocals of the original line are perpendicular to it. For example, the line y=3x has a slope of 3.
... choose any value for x and find the matching value for y. For example, when x is 1: y = 2×1 + 1 = 3. So when x=1 we have y=3. Check for yourself that x=1 and y=3 is actually on the line. Or we could choose another value for x, such as 7: y = 2×7 + 1 = 15. So when x=7 we have y=15. Positive or Negative Slope?
