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I suspect the answer is 1, but cannot be certain for the reasons given above.
y = 4x - 26
3x - y - 26 = 0
If you mean points of (-2, 6) and (4, 3) Then its slope is -1/2 and its equation is 2y = -x+10
To find the slope of the line represented by the given points, we can select any two points from the table. For example, using the points (0, 5) and (3, 26), the slope ( m ) can be calculated using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Substituting the values, we get ( m = \frac{26 - 5}{3 - 0} = \frac{21}{3} = 7 ). Therefore, the slope of the line is 7.
-4
Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26Equation of given line: 5x - 2y = 3In slope intercept form, that is: 2y = 5x - 3or y = 5/2*x - 3/2So gradient of given line = 5/2Therefore, gradient of perpendicular line = -1/(5/2) = -2/5Also, the point (3, -4) is on this lineSo equation is: y - (-4) = -2/5*(x - 3)y + 4 = -2/5*(x - 3)5y - 20 = -2x + 62x + 5y = 26
If you mean points of (1,4) (2, 6) and (3, 8) then the slope is 2 and the equation is y = 2x+2
Equation: x² + y² -6x +4y = 0 Completing the squares: (x-3)² + (y+2)² = 13 Centre of circle: (3, -2) Contact point: (6, -4) Slope of radius: -2/3 Slope of tangent: 3/2 Tangent equation: y - -4 = 3/2(x-6) => 2y - -8 = 3x-18 => 2y = 3x-26 Tangent line equation in its general form: 3x-2y-26 = 0
If you mean points of (-2, -1) and (3, 5) then the slope is 6/5
First find the slope of the circle's radius as follows:- Equation of circle: x^2 +10x +y^2 -2y -39 = 0 Completing the squares: (x+5)^2 + (y-1)^2 -25 -1 -39 = 0 So: (x+5)^2 +(y-1)^2 = 65 Centre of circle: (-5, 1) and point of contact (3, 2) Slope of radius: (1-2)/(-5-3) = 1/8 which is perpendicular to the tangent line Slope of tangent line: -8 Tangent equation: y-2 = -8(x-3) => y = -8x+26 Tangent equation in its general form: 8x+y-26 = 0
The maximum number of drainage fixture unit on a 2" drain line depends on the slope of the drain line. 21 units are allowed if the slope is 1/4' per foot, and 26 units are allowed if the slope of the line is 1/2" per foot.
Equation of circle: x^2 +10x +y^2 -2y -39 = 0 Completing the squares: (x+5)^2 +(y-1)^2 = 65 Center of circle: (-5, 1) Slope of radius: 1/8 Slope of tangent line: -8 Point of contact: (3, 2) Equation of tangent line: y-2 = -8(x-3) => y = -8x+26 Note that the tangent line meets the radius of the circle at right angles.