What is the equation of the line that passes through the point left bracket, minus, 6, comma, minus, 3, right bracket(−6,−3) and has a slope of minus, one sixth−

6
1

?

1 answer

The equation of a line can be expressed in slope-intercept form, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Given that the slope is -1/6 and the point (-6,-3) lies on the line, we can substitute these values into the equation to find the y-intercept.

-3 = (-1/6)(-6) + b
-3 = 1 + b
b = -4

Therefore, the equation of the line is:

y = (-1/6)x - 4