Question

What is the slope of the equation y – 3 = –4(x – 5)?e of the equation y – 3 = –4(x – 5)?

Answer 1

Answer:

The slope of the equation y-3=-4(x-5) is -4.

Step-by-step explanation:

This equation is written in point-slope form: y-y₁=m(x-x₁), where "m" is the slope or the equations.  In the equation y-3=-4(x-5), the -4 stands in the "m", or slope, spot, so the sope of this equation is -4.

Answer 2

Slope of the equation is equals to -4.

What is slope?

" Slope is defined as the ratio of the change in y-coordinates to the x-coordinates. It is also known as inclined plane."

General equation of line

y = m x + c                              ____(1)

'm' = slope of the line

'c' = y - intercept

According to the question,

Given equation,

$y-3 = -4(x-5)$

Open the brackets of the equation we get,

$y-3 = -4x+20$

Add 3 both the sides of the equation we get,

$y = -4x+23$                      ______(2)

Compare equation (1) and (2)  to get the slope we have,

Slope 'm' = -4

y-intercept = 23

Hence, slope of the equation is equals to -4.

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