line has a slope of -1/2 and passes through the point (2, 4). Which of the following equations represents the line? Question 13Answera.2x + y = 6 b.x +2y = 10 c.-2x - y = -8d.4x + 2y = 8

To find the equation of a line with a given slope and passing through a given point, we can use the point-slope form of a linear equation.

The point-slope form is given by: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope of the line.

In this case, the slope is -1/2 and the given point is (2, 4).

Substituting these values into the point-slope form, we get: y - 4 = -1/2(x - 2)

Simplifying the equation, we have: y - 4 = -1/2x + 1

To get the equation in standard form, we can multiply both sides of the equation by 2 to eliminate the fraction: 2(y - 4) = -x + 2

Expanding the equation, we get: 2y - 8 = -x + 2

Rearranging the terms, we have: x + 2y = 10

Therefore, the equation that represents the line with a slope of -1/2 and passing through the point (2, 4) is x + 2y = 10.

So, the correct answer is b.