Plot a point at the y-intercept of the following function on the provided graph. 3y=-5^x+7 Click on a tool to begin drawing. (8) Delete 4 Undo Q Reset A 3 2 x -3 -2 1 2 3 4 5 -1 -2 -3

To find the y-intercept of the function \(3y = -5^z + 7\), we need to determine the value of \(y\) when \(z = 0\).<br /><br />Substitute \(z = 0\) into the equation:<br /><br />\[ <br />3y = -5^0 + 7 <br />\]<br /><br />Since any number raised to the power of 0 is 1, we have:<br /><br />\[ <br />3y = -1 + 7 <br />\]<br /><br />Simplify the right side:<br /><br />\[ <br />3y = 6 <br />\]<br /><br />Now, solve for \(y\) by dividing both sides by 3:<br /><br />\[ <br />y = \frac{6}{3} = 2 <br />\]<br /><br />Therefore, the y-intercept of the function is at the point \((0, 2)\).<br /><br />On the graph, plot the point at the coordinates \((0, 2)\). This is where the line crosses the y-axis.