Answer:
Step-by-step explanation:
6)Let the number be x
Product of a number and -4 = x * -4 = -4x
Product of a number and -4 increase by 3 : -4x + 3
-4x +3 = 9
Subtract 3 from both sides
-4x + 3 - 3 = 9 - 3
-4x = 6
Divide both sides by (-4)
-4x/-4 = 6/-4
x = -3/2
x = -1 1/2
7)Let the number be x
Add 9 to both sides
Multiply both sides with 6
x = 120
Answer:
y = -3x -4
Step-by-step explanation:
A perpendicular line has a slope that is the negative reciprocal of that of the given line. When the equation starts out in standard form, a line with negative reciprocal slope can be written by swapping the x- and y-coefficients and negating one of them.
The given x- and y-coefficients have the ratio 1:-3, so we can use the coefficients 3 and 1 for our purpose.
The usual process of making the line go through a given point can be used. That is, we can translate the line from the origin to the desired point by subtracting the point coordinates from x and y. Then we have ...
3(x+3) +(y-5) = 0
__
This is "an" equation. It is in no particularly recognizable form. It can be rearranged to the form y = mx + b:
3x +9 +y -5 = 0 . . . . . eliminate parentheses
y = -3x -4 . . . . . subtract terms that are not "y"
