Final answer:
To graph the linear equation 3x+5y=6, isolate y on one side of the equation by subtracting 3x and then dividing by 5. This gives us y = (6 - 3x)/5. Graph the equation using the slope-intercept form and connect the points to form a straight line.
Step-by-step explanation:
To graph the linear equation 3x+5y=6, we first need to solve for y. Let's isolate y on one side of the equation. First, subtract 3x from both sides of the equation: 5y = 6 - 3x. Then, divide both sides by 5 to get y alone: y = (6 - 3x)/5. This is the equation in slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept. We can graph this equation by plotting points using the equation and then connecting those points with a straight line.
Learn more about Graphing linear equations