Answer:
y = (-3/4)x -2
or: y = -0.75x -2
Step-by-step explanation:
First, find the slope of the line that it parallel to. Using equation
slope m = (y2-y1)/(x2-x1),
slope of line that passes through points (4, 0) and (0, 3)
= (3 - 0) /( 0-4)
= -3/4
Since the lines are parallel, both of them have the same slope, which is -3/4.
The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.
y = mx + c
y = (-3/4)x + (-2)
y = (-3/4)x -2
