Final answer:
To graph the line that contains the point (-6,5) and has a slope of 3/4, use the point-slope form of a linear equation and plot the given point. Then, find another point using the slope and draw a line through both points.
Step-by-step explanation:
To graph the line that contains the point (-6,5) and has a slope of 3/4, we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1).
Plugging in the values, we have y - 5 = (3/4)(x - (-6)).
Simplifying this equation, we get y - 5 = (3/4)(x + 6).
This is the equation of the line. To graph it, we can plot the given point (-6,5) on the coordinate plane and then use the slope to find one more point. Using the slope of 3/4, we can either go up 3 units and to the right 4 units or down 3 units and to the left 4 units from the given point. Once we have both points, we can draw a straight line passing through them to complete the graph.