(a) The y-intercept is \( \left(0, \frac{10}{3}\right) \). (Simplify your answer. Type an ordered pair, using integers or fractions.) (b) The x-intercept is (Simplify your answer. Type an ordered pair, using integers or fractions.)
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The x-intercept is the point where the graph intersects the x-axis, which occurs when \( y = 0 \). By substituting \( y = 0 \) and solving for \( x \) in the equation of the line, you can find the x-intercept. If the line is represented in the slope-intercept form \( y = mx + b \), you'd set \( 0 = mx + b \) and solve for \( x \). This gives you the x-intercept as \( \left(-\frac{b}{m}, 0\right) \). To put it all together, if your y-intercept is \( \left(0, \frac{10}{3}\right) \), merely plug in the slope and y-intercept to derive the x-intercept through algebra. Once you have \( x \), you can express the result as an ordered pair, and voilà!