Let's go through the requested problems step-by-step.

Problems 15-22: Identifying x- and y-intercepts and Sketching Graphs

For each equation, we'll find the x- and y-intercepts.

Problem 15: $2x + 5y = 10$

1. x-intercept: Set $y = 0$: $2x + 5(0) = 10 \Rightarrow x = 5$ x-intercept is $(5, 0)$.

2. y-intercept: Set $x = 0$: $2(0) + 5y = 10 \Rightarrow y = 2$ y-intercept is $(0, 2)$.

Problem 16: $3x - 4y = -24$

1. x-intercept: Set $y = 0$: $3x - 4(0) = -24 \Rightarrow x = -8$ x-intercept is $(-8, 0)$.

2. y-intercept: Set $x = 0$: $3(0) - 4y = -24 \Rightarrow y = 6$ y-intercept is $(0, 6)$.

Problem 17: $10x + 5y = 120$

1. x-intercept: Set $y = 0$: $10x = 120 \Rightarrow x = 12$ x-intercept is $(12, 0)$.

2. y-intercept: Set $x = 0$: $5y = 120 \Rightarrow y = 24$ y-intercept is $(0, 24)$.

Problem 18: $2x - y = 8$

1. x-intercept: Set $y = 0$: $2x = 8 \Rightarrow x = 4$ x-intercept is $(4, 0)$.

2. y-intercept: Set $x = 0$: $-y = 8 \Rightarrow y = -8$ y-intercept is $(0, -8)$.

Problem 19: $2x - 4y = 8$

1. Rewrite in slope-intercept form: $y = \frac{1}{2}x - 2$.

   • Slope is $\frac{1}{2}$, intercepts can be found as below.

2. x-intercept: Set $y = 0$: $2x = 8 \Rightarrow x = 4$ x-intercept is ( (4