How do you find a standard form equation for the line with ( 2, 4) and ( 4, -5)?

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How do you find a standard form equation for the line with ( 2, 4) and ( 4, -5)?

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Answer 1 · 2017-04-17T10:14:12

The equation of the line in standard form is # 9x +2y = 26#

Explanation:

The slope of the line passing through #(2,4) and (4,-5)# is #m= (y_2-y_1)/(x_2-x_1)= (-5-4)/(4-2)=-9/2#

Let the equation of the line in slope-intercept form be #y=mx+c or y=-9/2x+c# The point (2,4) will satisfy the equation . So, # 4= -9/2*2+c or c= 9+4= 13#

Hence the equation of the line in slope-intercept form is #y= -9/2x+13.#

The equation of the line in standard form is #y= -9/2x+13. or 2y =-9x+26 or 9x +2y = 26# {Ans]

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How do you find a standard form equation for the line with ( 2, 4) and ( 4, -5)?

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