Answer:
y = -5/4 x -3 (Equation of parallel line)
y = 4/5 x - 3 (Equation of perpendicular line)
Step-by-step explanation:
The stanadard form of an equation is expressed as y = mx+c
m is the slope
c is the intercept
Given the equation f(x) = -5/4x-3, the slope of the line is -5/4
If equation of the known line is parallel to the required line, they will have the same slope, that is;
m = -5/4
Get the intercept:
Substitute m = -5/4 and the point (0, -3) into the equation y = mx +c and find c as shown;
-3 = -5/4(0) + c
c = -3
Substitute m = -5/4 and c = 3 into y = mx+c
y = -5/4 x -3 (Equation of parallel line)
If equation of the line is perpendicular to the line, the product of the slope will be -1 i.e
m(-5/4) = -1
m = -1/(-5/4)
m = 4/5
Get the intercept;
substitute m = 4/5 and the point (0, -3) into the equation y = mx+c
-3 = 4/5(0)+c
c = -3
Get the equation;
y = 4/5 x - 3 (Equation of perpendicular line)