Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the equation of a line that is perpendicular to the given one, and that passes through this point.
-2x+3y=-6 Add 2x in both sides
3y=2x-6 Divide by 3 in both sides to isolate y
y=2/3x-6/3
The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.
y=mx+b Substitute the given point and the previous slope found
-2=(-3/2)(6)+b Combine like terms
-2=-9+b Add 9 in both sides to isolate b
7=b
The equation that represents the line perpendicular to -2x+3y=-6 and that passes through the point (6,-2), is y=-3/2x+7.
Step-by-step explanation:
8x + 6) - (x + 4)
8x + 6 - (x + 4)
8x + 6 - x - 4
7x + 2
The amount that the would be paid after 40% discount is $27
<h3>Word Problem</h3>
Given Data
Let us find the cost of three shirt
= 15*3
= $45
Let us find 40% discount of $45
= 40/100*45
= 0.4*45
= $18
Let us find the amount after discount
= 45-18
= $27
Learn more about word problem here:
brainly.com/question/25693822
Answer:
X=132-13A/A, A cannot equal 0
A=132/X+13, X cannot equal -13
