Use the graph to determine another solution of \( 6 x-3 y=15 \). Is \( (1,-3) \) another solution? Yes

To find another solution to the equation \( 6x - 3y = 15 \), you can rearrange this into slope-intercept form by solving for \( y \). Starting with \( 6x - 3y = 15 \), you get \( -3y = -6x + 15 \) or \( y = 2x - 5 \). Now you can plug in values for \( x \) to find corresponding \( y \) values. For example, if \( x = 0 \), then \( y = -5 \), which gives the point \( (0, -5) \). Next, let’s check if \( (1, -3) \) is indeed a solution. Plugging into the original equation: \( 6(1) - 3(-3) = 6 + 9 = 15 \), which confirms that \( (1, -3) \) satisfies the equation. Finding other solutions can be a breeze! Try substituting different values for \( x \) or even use integer pairs that fall on the line represented by \( 6x - 3y = 15 \). Voila, you'll have your solutions appearing like magic!