Online Write an Equation of the line Tutors

Online Write an Equation of the line Tutors In a coordinate plane, by joining few points we can draw a straight line. The equation of this straight line formed can be written by taking any two points on the line and writing the equation in either slope-intercept form or point-slope form of the line. Slope of a line is the direction or the steepness of a line and it is useful while writing the equation of a line. Equation of a line is written in terms of the variables x, y and also a constant. Example 1: Write the equation of a line with a slope of 3 and passing through the point (1, 2). Given: Slope of the line, m = 3 Point = (1, 2) Point slope form of a line== (y y1) = m(x x1) Therefore we get: (y 2) = 3(x 1) This gives: y 2 = 3x 3. Simplifying the equation we get: 3x 3 y + 2 = 0 == 3x y 1 = 0 Hence the equation of the given line is 3x y 1 = 0 Example 2: Write the equation of a line with a slope of -1 and passing through the point (4, 3). Given: Slope of the line, m = -1 Point = (4, 3) Point slope form of a line== (y y1) = m(x x1) Therefore we get: (y 3) = -1(x 4) This gives: y 3 = -x + 4 Simplifying the equation we get: y 3 + x 4 = 0 == x + y - 7 = 0 Hence the equation of the given line is x + y 7 = 0.