which of the following is the equation of a line that passes through the points (2,5) and (4,3) A. y=-2x+5 B. y=2x+5 C. y=-x+7 D. y=x+7?

slope = -1
Equation
y-5 = -(x-2)
y = -x+7
Answer C

Let line L pass through A(2,5) & B(4,3). Then slope L = slope AB = (3-5)/(4-2) = - 1 and the slope
y-intercept form of the eqn of L is y = (-1)x + b, where (-1) is the slope and b Is the y-intercept. Since A
is on L, we have 5 = (-1)(2) + b, ie., b = 7. Then eqn of L is y = -x + 7.

C

why C ?