Subjects algebra

Y Intercept 94Ac0E

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Y Intercept 94Ac0E


1. **State the problem:** Find the y-intercept of the line given by the standard equation $$2x - 3y = 4$$. 2. **Recall the formula for y-intercept:** The y-intercept occurs where $$x=0$$. To find it, substitute $$x=0$$ into the equation and solve for $$y$$. 3. **Substitute $$x=0$$:** $$2(0) - 3y = 4$$ which simplifies to $$-3y = 4$$. 4. **Solve for $$y$$:** Divide both sides by $$-3$$: $$y = \frac{4}{-3} = -\frac{4}{3}$$. 5. **Interpretation:** The y-intercept is the point where the line crosses the y-axis, which is at $$y = -\frac{4}{3}$$. **Final answer:** The y-intercept of the line is $$-\frac{4}{3}$$.