Answer :
The equation of the line that passes through the point (-5,-4)(−5,−4) and is perpendicular to the line 5x+6y=365x+6y=36 is y = 6/5x + 2
An equation is a mathematical statement that consists of two expressions joined by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation gives the value of the variable x as x = 7.
A mathematical equation represents the relationship of two terms on each side of the sign. It usually has one variable and is equal to the symbol. Example: 2x – 4 = 2.
An equation is defined as a state of equality and is often shown as a mathematical expression with equal values on both sides or refers to a problem where many things need to be considered. An example of an equation is 2+2 = 3+1.
Step-by-step explanation:
First, let's fix this equation
5x + 6y = 36 (subtract 5x on both sides)
6y = -5x + 36 (divide by 6 on both sides)
y = -5/6x + 6
NOW
The perpendicular slope of this equation is 6/5
Now we have to plug in (-5,-4) to get the y-intercept
-4 = 6/5(-5) + b (distribute 6/5 to -5) (b represents the y-intercept)
-4 = -6 + b (add 6 on both sides)
2 = b
So your equation is...
y = 6/5x + 2
Learn more about equation here https://brainly.com/question/17145398
#SPJ9
