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

The slope is :

↬ -8

Solution:

Given:
`\bf{y+3=-8(x-4)}`

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

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

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

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

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.

Hence, the slope is -8.

Answer 2

slope m = - 8

Explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8