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

Solution:

Given, the equation is y - 3 = -4(x - 5)

We have to find the slope of the equation.

The equation of the line in slope-intercept form is given by

y = mx + c ---------------------- (1)

Where, m is the slope

c is the y-intercept.

On rewriting the given equation,

y - 3 = -4x + 20

y = -4x + 20 + 3

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

On comparing (1) and (2),

m = -4

Therefore, the slope of the equation is -4.

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

Summary:

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