Graph the line. y+3=-\frac{3}{2}(x-7)

Step 1 ：The given equation is in the point-slope form of a line, which is \(y - y1 = m(x - x1)\), where \(m\) is the slope of the line and \((x1, y1)\) is a point on the line. In this case, \(m = -\frac{3}{2}\) and the point on the line is \((7, -3)\).

Step 2 ：We can plot this line by first plotting the point \((7, -3)\) and then using the slope to find other points on the line. The slope \(-\frac{3}{2}\) means that for every 2 units we move to the right, we move 3 units down.

Step 3 ：The graph correctly represents the line \(y + 3 = -\frac{3}{2}(x - 7)\). The point \((7, -3)\) is on the line and the line has a negative slope, which means it's decreasing. This matches with the slope of \(-\frac{3}{2}\) given in the equation.

Step 4 ：\(\boxed{\text{The graph of the line } y + 3 = -\frac{3}{2}(x - 7) \text{ is a straight line passing through the point } (7, -3) \text{ and decreasing with a slope of } -\frac{3}{2}.}\)