Question

For the equation
y + 2 = 6(x - 5),
the line has a slope of 6 and contains what point?

Answer 1

(5, -2)

Explanation:

1. The equation "y + 2 = 6(x - 5)" is in the form of point-slope. Point slope form is
`y-y_1=m(x-x_1)` where y_1 = y-coordinate of point, m = slope, and x_1 = x-coordinate of point.

2. Given the information above, the point (5, -2) and slope of 6 makes the equation y + 2 = 6(x - 5) because:

• 
  `y - y_1 = m(x-x_1)`
• 
  `y - (-2) = 6(x-5)`
• 
  `y + 2=6x-5`

Therefore, the point is (5,-2).