Question

Hi! please help in math!

i need the solution/explanation on how you got the answer

(y + 3) = -8(x - 4)
what is the slope?

Answer 1

Slope: -8/3

Explanation:

y + 3 = -8 (x-4)

y+3 = -8x + 32

y = -8/3x + 29

Therefore, the slope is -8/3.

Answer 2

The slope is :

↬ -8

Solution:

Givens :

• 
  `\bf{(y+3=-8(x-4)}`

To determine the slope, it's important to know the form of the equation first.

The forms are:

• Slope Intercept (y = mx + b)
• Point slope (y-y₁) = m(x - x₁)
• Standard form (ax + by = c)

This equation matches point slope perfectly.

`\rule{350}{4}`

Point slope

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of
`\bf{y+3=-8(x-4)}` is -8.

Extra info

The point of the line is
`\bf{(4,-3)}`.

Hence, the slope is -8.