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Answer :
To find the rate of change, we first rewrite the given equation into slope-intercept form, which is:
[tex]$$
y = mx + b.
$$[/tex]
The original equation is:
[tex]$$
-5 - \frac{7}{8}x = y.
$$[/tex]
We can rearrange it to match the slope-intercept format:
[tex]$$
y = -\frac{7}{8}x - 5.
$$[/tex]
In this form, the coefficient of [tex]$x$[/tex] represents the rate of change (or slope), so we have:
[tex]$$
m = -\frac{7}{8}.
$$[/tex]
Thus, the rate of change in the equation is:
[tex]$$
-\frac{7}{8}.
$$[/tex]
[tex]$$
y = mx + b.
$$[/tex]
The original equation is:
[tex]$$
-5 - \frac{7}{8}x = y.
$$[/tex]
We can rearrange it to match the slope-intercept format:
[tex]$$
y = -\frac{7}{8}x - 5.
$$[/tex]
In this form, the coefficient of [tex]$x$[/tex] represents the rate of change (or slope), so we have:
[tex]$$
m = -\frac{7}{8}.
$$[/tex]
Thus, the rate of change in the equation is:
[tex]$$
-\frac{7}{8}.
$$[/tex]
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