Find the slope -intercept equation of the line that passes through (2,5) and has a slope of -2/3

Answer 1

slope = -2/3 = (y-5)/(x-2)

y -5 = (-2/3)(x-2) = (-2/3)x + 4/3

y = (-2/3)x + 19/3 is the equation through the given point (2,5) with slope = -2/3, in slope intercept form

or to eliminate fractions

3y = -2x + 19

2x + 3y = 19 in standard form