1. **State the problem:** Find the y-intercept and x-intercept of the line given by the equation $$y = -2x + 4$$ and plot the points. 2. **Y-intercept:** The y-intercept occurs when $$x=0$$. Substitute $$x=0$$ into the equation: $$y = -2(0) + 4 = 4$$ So the y-intercept is at the point $$(0,4)$$. 3. **X-intercept:** The x-intercept occurs when $$y=0$$. Set $$y=0$$ and solve for $$x$$: $$0 = -2x + 4$$ Add $$2x$$ to both sides: $$2x = 4$$ Divide both sides by 2: $$x = 2$$ So the x-intercept is at the point $$(2,0)$$. 4. **Plotting and slope:** Plot the points $$(0,4)$$ and $$(2,0)$$ on the coordinate plane. The slope $$m$$ of the line is the coefficient of $$x$$, which is $$-2$$. This means for every 1 unit you move to the right, you move 2 units down. 5. **Draw the line:** Connect the points $$(0,4)$$ and $$(2,0)$$ with a straight line. **Final answer:** - Y-intercept: $$(0,4)$$ - X-intercept: $$(2,0)$$ - Slope: $$-2$$