What is the slope-intercept form of the line passing through (0, 6) (0,6) and (5, 4) (5,4)?

1 Answer
Binayaka C.
Jul 5, 2016

The equation of line in slope intercept form is y = -2/5*x+6y=−25⋅x+6

Explanation:

The slope of the line passing through (0,6) and (5,4)(0,6)and(5,4) is m=(y_2-y_1)/(x_2-x_1) = (4-6)/(5-0)= -2/5m=y2−y1x2−x1=4−65−0=−25
Let the equation of the line be y=mx+cy=mx+c Since the line passes through (0,6)(0,6), it will satisfy the equation :.6= (-2/5)*0+c or c=6 :.The equation of line is y= -2/5*x+6 graph{-(2/5)*x+6 [-20, 20, -10, 10]} [Ans]

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