Answer:
No, they are not perpendicular, but they are parallel.
Step-by-step explanation:
1. Identify the Slope of both equations
The slope of y=-3x+4 is -3
The slope of y=-3x-17 is -3
2. Determine slopes
If 2 lines are parallel, they have the same slope
If 2 lines are perpendicular, their slopes are opposite reciprocals.
e.g. The opposite reciprocal of 7 is -1/7
3. Determine if slopes are parallel or perpendicular
Since the slop of both lines is -3, the two lines will be parallel to one another with different points intersecting at the y-axis (4 and -17)
Since the product is not equal to -2, hence the equation are not perpendicular.
The standard form of equation of a line is expressed as y = mx + b
m is the slope of the line
b is the y-intercept
For two lines to be perpendicular, the product of their slope is -1
For the equation, y = -3x + 4
Compared with original equation
mx = -3x
m = -3
For the equation y = -3x -17
Compared with the standard equation
mx = -3x
m = -3
Taking the product of the slope
product = -3 × -3
product = 9
Since the product is not equal to -2, hence the equation are not perpendicular.
Learn more here: brainly.com/question/1123456
