Problema Solution
a line has a slope of -5/6 and passes through the point (12,8). Write the equation of this line in point-slope form, slope-intercept form, and standard form.
A line passes through the points (-2,5) and (8,35).Write the equation of this line in point-slope form, slope-intercept form, and standard form.
Answer provided by our tutors
m = -5/6 is the slope
(x1, y1) = (12, 8) is a point on the line
The point-slope form is:
y - y1 = m(x - x1)
y - 8 = (-5/6)(x - 12)
The slope-intercept form is:
y = 8 + (-5/6)x + 10
y = (-5/6)x + 18
The standard form is:
y + (5/6)x = 18 multiply both sides by 6
6y + 5x = 18*6
5x + 6y = 108