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What is the slope of the equation [tex]$y - 7 = -\frac{1}{4}x$[/tex]?

A. [tex]-7[/tex]
B. [tex]-\frac{7}{4}[/tex]
C. [tex]\frac{5}{4}[/tex]
D. [tex]5[/tex]


Sagot :

To find the slope of the given equation [tex]\( y - 7 \times -\frac{1}{4} \)[/tex], follow these steps:

1. Understand the given equation:
The equation involves the term [tex]\( 7 \)[/tex] being multiplied by [tex]\(-\frac{1}{4}\)[/tex].

2. Identify the form of the equation:
We need to express the equation in slope-intercept form [tex]\( y = mx + b \)[/tex] where [tex]\( m \)[/tex] is the slope and [tex]\( b \)[/tex] is the y-intercept. The term multiplying [tex]\( x \)[/tex] directly will represent the slope.

3. Solve for the slope:
- Here, the term involving the slope is [tex]\( 7 \times -\frac{1}{4} \)[/tex].
- Calculate this multiplication:
[tex]\[ 7 \times -\frac{1}{4} = -\frac{7}{4} \][/tex]

Therefore, the slope of the equation is:
[tex]\[ -\frac{7}{4} \][/tex]

So the correct answer is:
[tex]\[ -\frac{7}{4} \][/tex]
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