The task involves graphing equations in standard form by identifying the x-intercept and y-intercept for each equation. I will break down the equations provided in the images and compute the x-intercept and y-intercept for each.

Solving Each Equation

1. $x - y = 5$

• X-Intercept: Set $y = 0$, then $x - 0 = 5$, so $x = 5$.
• Y-Intercept: Set $x = 0$, then $0 - y = 5$, so $y = -5$.

2. $5x + 4y = -20$

• X-Intercept: Set $y = 0$, then $5x = -20$, so $x = -4$.
• Y-Intercept: Set $x = 0$, then $4y = -20$, so $y = -5$.

3. $4x - 3y = -12$

• X-Intercept: Set $y = 0$, then $4x = -12$, so $x = -3$.
• Y-Intercept: Set $x = 0$, then $-3y = -12$, so $y = 4$.

4. $8x + 6y = 24$

• X-Intercept: Set $y = 0$, then $8x = 24$, so $x = 3$.
• Y-Intercept: Set $x = 0$, then $6y = 24$, so $y = 4$.

Explanation of Graphing Steps

1. Mark the x-intercept on the x-axis.
2. Mark the y-intercept on the y-axis.
3. Draw a straight line passing through both points.

Would you like me to display the graphs for these equations or clarify any steps further?

5 Related Questions

1. What is the formula for finding intercepts of any linear equation in standard form?
2. How can you verify that the line graph matches the equation?
3. What happens to the intercepts when you multiply or divide the equation by a constant?
4. Can a linear equation have the same x- and y-intercept?
5. How do the intercepts help in sketching graphs quickly?

Tip: Always double-check the intercepts by substituting back into the original equation to avoid errors!