What is the equation of the line that passes through the point (6,-8) and has a slope of -5/6
Question
What is the equation of the line that passes through the point (6,-8) and has a slope of -5/6
Solution
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope (m) is -5/6 and the line passes through the point (6,-8), we can substitute these values into the equation to find the y-intercept (b).
-8 = (-5/6)*6 + b -8 = -5 + b b = -8 + 5 b = -3
Therefore, the equation of the line is y = -5/6x - 3.
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