A line has a slope of 2 and passes through the point (4,0).

What are the coordinates of another point that is on the line?

(0,2)
(2,0)
(6,4)
(4,6)

My answer: (0,2)

use the point-slope form of the line:

y-0 = 2(x-4)
or
y = 2x-8

Now, check the choices and see which one works when used in that equation.

To find another point on the line, we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

Where:
- y and x are the coordinates of any point on the line.
- m is the slope of the line.
- b is the y-intercept of the line.

In this case, the slope is given as 2, and the line passes through the point (4,0). We can use this information to find the value of b. We substitute the values into the equation:

0 = 2(4) + b

Simplifying this equation, we multiply 2 by 4:

0 = 8 + b

To solve for b, we subtract 8 from both sides of the equation:

-8 = b

Now, we have the value of b as -8. We can substitute the values of m and b back into the slope-intercept form equation:

y = 2x - 8

To find another point on the line, we can choose any value of x and calculate the corresponding y. Let's choose x = 0:

y = 2(0) - 8

Simplifying the equation, we multiply 2 by 0:

y = 0 - 8

y = -8

Therefore, the coordinates of another point on the line are (0,-8).

From the options provided, the point (0,2) does not lie on the line with a slope of 2 and passing through the point (4,0), so the correct answer is not (0,2).