Slope form

Find the equation of a line given the point X(8, 1) and slope -2.8. Arrange your answer in the form y = ax + b, where a, b are the constants.



Result

a =  -2.8
b =  23.4

Solution:

(yy0)=a(xx0) (y1)=2.8(x8) y1=2.8x+22.4 y=2.8x+22.4+1 y=2.8x+23.4  a=2.8 b=23.4(y-y_0)=a(x-x_0) \ \\ (y -1)=-2.8(x -8) \ \\ y -1 = -2.8 x +22.4 \ \\ y = -2.8 x +22.4 +1 \ \\ y = -2.8 x +23.4 \ \\ \ \\ a = -2.8 \ \\ b = 23.4



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Tips to related online calculators
For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

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