The equation y=-3(x+10)+15 would result in a graph that is a

The equation \( y = -3(x + 10) + 15 \) is a linear equation, which means its graph will be a straight line.<br /><br />To understand this better, let's simplify the equation:<br /><br />1. Distribute the \(-3\) across the terms inside the parentheses:<br /> \[<br /> y = -3x - 30 + 15<br /> \]<br /><br />2. Combine like terms:<br /> \[<br /> y = -3x - 15<br /> \]<br /><br />This equation is in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. Here, the slope \( m \) is \(-3\) and the y-intercept \( b \) is \(-15\).<br /><br />Therefore, the graph of this equation is a straight line with a slope of \(-3\) and a y-intercept at \(-15\).