Question

A line has a slope of -2/3 and passes through the point (4, -4). Which of these is another point on the line?

a) (-5, 2)
b) (3, 2)
c) (-2, 0)
d) (-8, 4)

Answer 1

To find another point on the line with a slope of -2/3 and passing through the point (4, -4), use the point-slope formula. The correct answer is (-2, 0).

Step-by-step explanation:

To find another point on the line with a slope of -2/3 and passing through the point (4, -4), we can use the point-slope formula: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the given point.

Plugging in the values, we have: y - (-4) = (-2/3)(x - 4)

Simplifying, we get: y + 4 = (-2/3)(x - 4)

Using the options provided, we can substitute the x and y values of each point into the equation and see which one satisfies it. The correct answer is option c) (-2, 0), as it satisfies the equation.