$$ -4 x+3 y=10 $$ (a) The y-intercept is $$ \square $$. (Simplify your answer. Type an ordered pair, using integers or fractions.)

Question

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To find the **y-intercept** of the equation $$ -4x + 3y = 10 $$, follow these steps:

1. **Identify the y-intercept:**
   The y-intercept occurs where $$ x = 0 $$.

2. **Substitute $$ x = 0 $$ into the equation:**
   $$
   -4(0) + 3y = 10 \
   0 + 3y = 10 \
   3y = 10
   $$

3. **Solve for $$ y $$:**
   $$
   y = \frac{10}{3}
   $$

4. **Write the y-intercept as an ordered pair:**
   $$
   (0, \frac{10}{3})
   $$

**Answer:**
$$(0,\ \dfrac{10}{3})$$
The y-intercept is $$(0,\ \dfrac{10}{3})$$.

\( -4 x+3 y=10 \) (a) The y-intercept is \( \square \). (Simplify your answer. Type an ordered pair, using integers or fractions.)