graph this line using intercepts: 6x + 5y = -30 click to select points on the graph.

Explanation:

Step1: Find x - intercept

Set (y = 0) in the equation (6x+5y=-30). Then (6x+5\times0=-30), which simplifies to (6x=-30). Solving for (x) gives (x=\frac{-30}{6}=-5). So the x - intercept is the point ((-5,0)).

Step2: Find y - intercept

Set (x = 0) in the equation (6x + 5y=-30). Then (6\times0+5y=-30), which simplifies to (5y=-30). Solving for (y) gives (y=\frac{-30}{5}=-6). So the y - intercept is the point ((0,-6)).

Step3: Graph the line

Plot the points ((-5,0)) and ((0,-6)) on the coordinate - plane and draw a straight line passing through them.

Answer:

Plot the points ((-5,0)) and ((0,-6)) and draw a line through them.