Question

Write the equation of a line through the two points in (-2,8) and (5,-1)

What would be the slope of the line parallel to the line given in (-2,8) and (5,-1)

What would be the slope of the line perpendicular to the line given in (-2,8) and (5,-1)

Answer 1

(-2, 8) and (5, -1)

slope: (y² - y¹) / (x² - x¹)

(-1 - 8) / (5 + 2) = -9/7

y = -9/7x + b

8 = -9/7(-2) + b

8 = 18/7 + b

8 = (2.57) + b

b = 5.43

y = -9/7x + 5.43

parallel = same slope

y = -9/7x

perpendicular = reciprocated slope

y = 7/9x