Graph the line passing through the given point and having the indicated slope. through \( (-2,1) \) with slope \( -\frac{4}{3} \)

We are given the point (–2, 1) and a slope of –4/3. To graph the line, follow these steps: 1. Start with the point‐slope form of a line:   y – 1 = –4/3 (x + 2). 2. You can leave the equation in this form for graphing, or solve for y to obtain the slope-intercept form:   y = –4/3 (x + 2) + 1    = –4/3 x – 8/3 + 1    = –4/3 x – 8/3 + 3/3    = –4/3 x – 5/3. 3. To graph the line:   a. Plot the given point (–2, 1) on the coordinate plane.   b. Use the slope –4/3, which means “down 4 units for every 3 units to the right.” From (–2, 1), move 3 units to the right (to x = 1) and 4 units down (to y = –3), placing another point at (1, –3).   c. Draw a straight line through the points (–2, 1) and (1, –3). This graph represents the line with the equation:   y = –4/3 x – 5/3.