Question

The points (12,27) and (20,45) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

a. What is the slope of the line through the points?
a) 2/3
b) 3/2
c) 1/2
d) 2/1

Answer 1

The slope of the line through the points (12,27) and (20,45) is 9/4. To graph the line, plot the two points and draw a straight line passing through them.

Step-by-step explanation:

The slope of a line can be found using the formula: slope = (y2 - y1)/(x2 - x1). Given the points (12,27) and (20,45), we can substitute the values into the formula to find the slope. The calculation is as follows: slope = (45 - 27)/(20 - 12) = 18/8 = 9/4. Therefore, the slope of the line through the points is 9/4.

To graph the line, we can plot the two points (12,27) and (20,45) on a coordinate plane. Then, we can draw a straight line passing through these two points. The graph of the line will have a slope of 9/4.