To find the equation of the line containing the points (-5, 11) and (3, 4), we first calculate the slope (m) using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Substituting the points, we get ( m = \frac{4 - 11}{3 - (-5)} = \frac{-7}{8} ). Using the point-slope form ( y - y_1 = m(x - x_1) ) with point (-5, 11), the equation becomes ( y - 11 = -\frac{7}{8}(x + 5) ). Simplifying, the equation of the line is ( y = -\frac{7}{8}x + \frac{33}{8} ).
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9y = 10x+7
Points: (2, 5) and (-4, 1) Slope: 2/3 Equation: 3y = 2x+11
Points: (0, -2) and (20, 42) Slope: 11/5 Equation: 5y = 11x-10 or as y = 2.2x-2.
Points: (-2, 3) and (1, -1) Midpoint: (-0.5, 1) Slope: -4/3 Perpendicular slope: 4/3 Equation: 3y = -4x+1 Perpendicular bisector equation: 4y = 3x+5.5
To find the equation of the line of best fit for the given data points (2, 2), (5, 8), (7, 10), (9, 11), and (11, 13), we can use the least squares method. The calculated slope (m) is approximately 0.85 and the y-intercept (b) is around 0.79. Thus, the equation of the line of best fit is approximately ( y = 0.85x + 0.79 ).
Plug both points into the equation of a line, y =m*x + b and then solve the system of equations for m and b to get equation of the line through the points.
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9x = 10x+7
Points: (2, 3) and (11, 13) Slope: 10/9 Equation: 9y = 10x+7
Points: (-1, 7) and (-2, 3) Slope: 4 Equation: y = 4x+11
Points: (2, 5) and (-4, 1) Slope: 2/3 Equation: 3y = 2x+11
Points: (0, -2) and (20, 42) Slope: 11/5 Equation: 5y = 11x-10 or as y = 2.2x-2.
(-2, 11)(-3, 14)(2, -1)
Points: (7, 0) and (0, 11) Slope: 0-11/7-0 = -11/7 Equation: y-0 = -11/7(x-7) => 7y = -11x+77 Equation: y-11 = -11/7(x-0) => 7y = -11x+77
It is an equation of a straight line.
To find the equation of a line passing through two points, we first calculate the slope using the formula (y2 - y1) / (x2 - x1). Given the points (1, 11) and (-2, 2), the slope is (2 - 11) / (-2 - 1) = -9 / -3 = 3. Next, we use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting (1, 11) as the point and 3 as the slope, we get the equation y - 11 = 3(x - 1). Simplifying, we get y = 3x + 8 as the equation of the line.
Y=_10.35x+126.125
Given points: (6, 11), (3, 10)Find: the equation of the line that passes through the given points Solution: First, wee need to find the slope m of the line, and then we can use one of the given points in the point-slope form of the equation of a line. After that you can transform it into the general form of the equation of a line. Let (x1, y1) = (3, 10), and (x2, y2) = (6, 11) slope = m = (y2 - y1)/(x2 - x1) = (11 - 10)/(6 - 3) = 1/3 (y - y1) = m(x - x1)y - 10 = (1/3)(x - 3)y - 10 = (1/3)x - 1y - 10 + 10 - (1/3)x = (1/3)x - (1/3)x + 10 - 1-(1/3)x + y = 9 which is the general form of the required line.