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).

the correct answers i think are b. and d.

give me brainliest if it is correct!

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true