Question
A line has a slope of negative five sixths and passes through the point (-6,-1) write its equation in slope intercept form
Answers
GPT 3.5
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope (m) is given as -5/6.
To find the y-intercept (b), we can substitute the coordinates of the given point (-6, -1) into the equation.
-1 = (-5/6)(-6) + b
-1 = 5 + b
b = -1 - 5
b = -6
Therefore, the equation of the line in slope-intercept form is y = (-5/6)x - 6.
In this case, the slope (m) is given as -5/6.
To find the y-intercept (b), we can substitute the coordinates of the given point (-6, -1) into the equation.
-1 = (-5/6)(-6) + b
-1 = 5 + b
b = -1 - 5
b = -6
Therefore, the equation of the line in slope-intercept form is y = (-5/6)x - 6.