Answer:
y = -1/5x + 19/5 or
x + 5y = 19.
Step-by-step explanation:
The slope of the line (m) = (5-3) / (-6-4)
= -1/5.
Using the point-slope form of the equation of a line:
y - y1 = m(x - x1) m = -1/5. x1 = 4 and y1 = 3 , so:
y - 3 = -1/5(x - 4)
y - 3 = -1/5x + 4/5
y = -1/5x + 19/5 which is the equation in slope-intercept form.
Converting to standard form ( multiplying by 5):
5y = -x + 19
x + 5y = 19.
