Question

Which point lies on the line with the point-slope equation y - 5 = 2(x + 8)? a) (0, 0) b) (1, 10) c) (2, 19) d) (3, 28)

Answer 1

None of the given options lie on the line with the given point-slope equation.

Step-by-step explanation:

The point-slope equation of a line is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the equation is y - 5 = 2(x + 8). To find the point that lies on this line, we need to substitute the values of x and y from the given options and check if the equation holds.

Let's substitute the values from option (c), (2, 19), into the equation:
19 - 5 = 2(2 + 8)
14 = 2(10)
14 = 20

Since the equation is not true, option (c) does not lie on the line. Therefore, none of the given options (a), (b), (c), or (d) lies on the line with the given point-slope equation.

Learn more about Point-Slope Equation