Answer:
y = -3x + 4
Step-by-step explanation:
Parallel lines have the same slope. First calculate the slope of the line through (1,4) and (3,-2).
[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{4--2}{1-3} =\frac{6}{-2}=-3[/tex]
For the parallel line, subsitute m = -3 and (3,-5) into the point slope form:
y - - 5= -3 (x-3)
y + 5 = -3(x-3)
y + 5 = -3x + 9
y = -3x + 4
