Answer:
A.) y = (-5/3)x - 28/3
Step-by-step explanation:
The general structure of an equation in slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. The slope of a parallel line is the opposite-signed, reciprocal slope of the original line. Therefore:
Original Slope: m = 3/5
New Slope: m = -5/3
To find the y-intercept the parallel line, you should plug the new slope into the equation, plug the "x" and "y" values from the Point (-5,-1) into the equation, and then simplify to find "b".
y = mx + b <----- Slope-intercept Form
y = (-5/3)x + b <----- Plug (-5/3) in "m"
-1 = (-5/3)(-5) + b <----- Plug in "x" and "y" values from Point (-5,-1)
-1 = 25/3 + b <----- Multiply -5/3 and 5
-3/3 = 25/3 + b <----- Change -1 into common denominator
-28/3 = b <----- Subtract 25/3 from both sides
Know that you have values for both "m" and "b", you can construct your parallel line.
y = (-5/3)x - 28/3
