how to find the equation of a line which is parallel to another?
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Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this 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 4x – 5y = 12 is m = 4/5.
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The slope for parallel lines have the same slope, so the answer to your question is -3. You can now determine (x, y) points on the line.
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In two dimensions, parallel lines have the same slope . We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 .
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To find the line of symmetry algebraically, you need to identify if the equation is written in standard form or vertex form. Standard form is y = ax^2 + bx + c, where a, b, and c equal all real numbers. You can use the formula x = -b / 2a to find the line of symmetry. Vertex form is y = (x - h)^2 + k.
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Distance between Two Parallel Lines It is equal to the length of the perpendicular distance from any point to one of the lines. Let N be the point through which the perpendicular or normal is drawn to l1 from M (− c2/m, 0). We know that the distance between two lines is: d =|Ax1 + By1 + C| / (A2 + B2)½.
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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 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.
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Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3. Let's look at the line 2x + 3y = 4.
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There are an infinite number of lines that are parallel to the x -axis, y=0. All horizontal lines have slope of 0. If lines are parallel then they have the same slope. The slope of a line parallel to the x -axis is 0.
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t...” The points of the intecepts are (2,0) and (0,5). to find the equation of the line, you need to put it into slope-intercept form which is y=mx+b, where m is the slope and b is the y intercept. to find the slope you do 5-0 where you subtract the second y (5) from the first y (0).
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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 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5. ... Step 2: Use the slope to find the y-intercept.
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Algebra Examples Use the slope-intercept form to find the slope. 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 Undefined. All lines that are parallel to m=37 m = 3 7 have the same slope of Undefined .
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Thus, if P(x, y) is any point on AB, then y = b. Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b. The equation of x-axis is y = 0, since, x-axis is a parallel to itself at a distance 0 from it.
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The basic equation of the line is y = mx + b, where m represents the slope of the line and b is the y-intercept. For this question we simply plug in the values for the appropriate variables to get the correct equation of the line.
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The distance between two parallel lines is calculated by the distance of point from a line. It is equal to the length of the perpendicular distance from any point to one of the lines. Let N be the point through which the perpendicular or normal is drawn to l1 from M (− c2/m, 0).
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Voltage is the same across each component of the parallel circuit. The sum of the currents through each path is equal to the total current that flows from the source. You can find total resistance in a Parallel circuit with the following formula: 1/Rt = 1/R1 + 1/R2 + 1/R3 +...
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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 the slope (m) any y-intercept (b) of a line, this page will show you how to find the equation of the line.
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The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.