what is the equation of a line that is perpendicular to y=3x-2 brainly?
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Answer Expert Verified The perpendicular equation is y = -1/3x + 10.
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Hence, the equation of a line perpendicular to y axis is y = k.
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Correct answer: Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.
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Correct answer: The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.
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Find The Slope Of A Perpendicular Line : Example Question #3 First rearrange the equation so that it is in slope-intercept form, resulting in y=2/3 x + 14/9. The slope of this line is 2/3, so the slope of the line perpendicular will have the opposite reciprocal as a slope, which is -3/2.
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Equation of a Straight Line. Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
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Correct answer: Find the slope of the given line. The perpendicular slope will be the opposite reciprocal of the original slope. Use the slope-intercept form (y = mx + b) and substitute in the given point and the new slope to find the intercept, b. Convert back to standard form of an equation: ax + by = c.
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Answer Expert Verified The slope of a perpendicular line to an equation is the negative reciprocal of the number. For example, the negative reciprocal of 2 is -1/2 (so you 'flip' the number).
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Two lines are perpendicular if and only if their slopes are negative reciprocals. To find the slope, we must put the equation into slope-intercept form, , where equals the slope of the line.
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Find the Equation of a Line Given That You Know Two Points it Passes Through. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
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Correct answer: You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
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Correct answer: The slope of the perpendicular line is the negative reciprocal. This means you change the sign of the slope to its opposite: in this case to 3. Then find the reciprocal by switching the denominator and numerator to get 1/3; therefore the slope of the perpendicular line is 1/3.
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Two non-vertical lines are perpendicular if the slope of one is the negative reciprocal of the slope of the other. If the slope of the first equation is 4, then the slope of the second equation will need to be for the lines to be perpendicular.
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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+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
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The y-axis is a vertical line. A vertical line has a slope of 10 which is undef or undefined. The negative reciprocal would be 01 or 0 . So, the slope of the perpendicular would be 0 .
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Start be converting the equation to slope intercept form: y = mx + b. To do this, subtract 5x from both sides and divide both sides by 7: y = -5/7x + 4/7. The slope of this line is -5/7, so the slope of a perpendicular line must be 7/5.
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The equation of a line is in the form y=mx+b form, where m is the slope and b is the y-intercept. Perpendicular lines have negative reciprocal slopes. The slope of the given line is 3. Therefore, the slope of the line that is perpendicular to the given line is -1/3.