Answer: The point-slope formula is given by:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
We have a point (1,2) and a slope of -5/6. Substituting these values into the point-slope formula, we get:
y - 2 = (-5/6)(x - 1)
Expanding and rearranging this equation gives:
y - 2 = (-5/6)x + (5/6)
y = (-5/6)x + (5/6) + 2
y = (-5/6)x + (17/6)
This is the equation of the line in slope-intercept form, y = mx + b, where m is the slope (-5/6) and b is the y-intercept (17/6).
Explanation: