Question

1) Find the slope of the line that passes through each pair of points (-6,1), (4,8)

2) Find the slope of the line that passes through each pair of points (-42.25, 5.2),(3.25, 3)

3) Is it true that a line with a slope of 1 ALWAYS passes through the origin? Explain

Answer 1

1) slope is (8-1)/(4-(-6))=7/10
2) slope is (3-5.2)/(3.25-(-42.25))=-2.2/45.50=-22/455
3) the slope of 1 means the line is inclined to the horizontal axis at an angle of 45 degrees. There are an infinite number of such parallel lines, but only one y=x passes through the origin.