Using point-slope form, write the equation of the line through (1, -5) and perpendicular to -3x+2y=12

Hello!

Remember that point slope form is written as: . In this form, m is the slope and and is a given ordered pair.

Before finding the perpendicular line, we need to change the given equation to slope-intercept form, which is give us the slope.

-3x + 2y = 12 (add 3x to both sides)

2y = 12 + 3x (divide both sides by 2)

y = 3/2x + 6 | The slope of the original equation is m = 3/2.

With the slope, we can change it to become a perpendicular line. We need to find the "negative reciprocal" of the slope of the given line. It is also written as -1/m.

-1/(2/3) → -3/2 | The slope of perpendicular line is -3/2.

Now, we substitute the slope into the point-slope form, and also the given ordered pair.

Therefore, the final answer is: y + 5 = -3/2(x - 1).

true

explanation:

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.