Rewrite the following equation in slope-intercept form. $$ -20 y-16=-17 x $$ Write your answer using integers, proper fractions, and improper fractions in simplest form.

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UpStudy AI · Accepted Answer

To rewrite the equation in slope-intercept form, we start with

$$
-20y - 16 = -17x.
$$

**Step 1:** Add $$ 16 $$ to both sides to isolate the term with $$ y $$.

$$
-20y = -17x + 16.
$$

**Step 2:** Divide every term by $$-20$$ to solve for $$ y $$.

$$
y = \frac{-17x + 16}{-20}.
$$

**Step 3:** Simplify the expression by dividing each term in the numerator by $$-20$$.

$$
y = \frac{-17}{-20}x + \frac{16}{-20}.
$$

Since $$\frac{-17}{-20} = \frac{17}{20}$$ and $$\frac{16}{-20} = -\frac{16}{20}$$, we have

$$
y = \frac{17}{20}x - \frac{16}{20}.
$$

**Step 4:** Simplify the constant fraction $$\frac{16}{20}$$ by dividing numerator and denominator by $$4$$:

$$
\frac{16}{20} = \frac{4}{5}.
$$

Thus, the equation in slope-intercept form is

$$
y = \frac{17}{20}x - \frac{4}{5}.
$$
$$ y = \frac{17}{20}x - \frac{4}{5} $$

Rewrite the following equation in slope-intercept form. \( -20 y-16=-17 x \) Write your answer using integers, proper fractions, and improper fractions in simplest form.

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