an equation perpendicular to the equation given will have a slope of -1, because a perpendicular slope is opposite and reciprical. if it goes through the point 4,-1 and has a slope of -1, the y intercept has to be 3. y = -x + 3
parallel lines have to have the same slope of 3.
1. is neither
hope it helps
2) C) y=-3/4x -6
3) D) y=2/5x-2
I don't understand 4 nor 5. My apologies.
The equations of the lines are y=3 and y=8.
Parallel lines have equal slopes, so if the slopes are opposites, the slopes must be 0.
A line with this slope and passing through (7, 3) has equation y=3.
The above answer statements pretty much speak for themselves. The only opposite numbers that are equal are 0 and -0 = 0, so the slopes must be 0.
A line with a zero slope has a constant y-value, so is of the form ...
y = constant
If it goes through a point with a y-coordinate of 3, then the constant must be 3. The line is ...
y = 3
If the sum of two numbers is 11 and one of them is 3, the other is 8. So, the parallel line has equation y = 8.