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]
