Find the equation of the line parallel to 2x-3y=9, passing through the point (-6,3)

parallel lines have the same slope so we need to find the slope of the line

2x-3y=9  get y alone

-3y=-2x+9  subtract 2x

y=2/3 x -3  divide by -3

the slope of the line is 2/3

the point slope form of the equation is

(y-y1) = m(x-x1) where m is  the slope and (x1.y1) is the point

y-3 = (2/3) * (x+6)   distribute the 2/3

y-3 = 2/3 x + 4  add 3 to both sides

y = 2/3 x +7

answer: it actually depends on which is the independent variable and which is the dependent variable. let us say we're looking at a linear equation. y=2x+3. we theoretically could switch the equation to be x=(y-3)/2 and it would be the same line. so either a causes b or it can be that b causes a. so technically the answer is false

step-by-step explanation:

the answer is:

the lateral area is equal to

to find the lateral area of the square pyramid, first we need to find the perimeter of the base, and then, find the lateral area using the following formulas:

where,

s, is the base length

slant height, is the height of a the side of the pyramid

we are given:

now, calculating the perimeter of the base, we have:

then, calculating the lateral area:

hence, we have that the lateral area is equal to

have a nice day!