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).

answer: what if i dont want to show my work boi.

step-by-step explanation: im watching dbz and eating popcorn leave meh alone

the difference between a number and 5 is -2.

step-by-step explanation:

notice that the equation you are given has -2 (negative 2) on the right side, not 2. when you subtract 5 from a number n, you are finding the difference between the number and 5.

the difference between a number and 5 is -2.