A line passes through (-7,-5) and (-5,4). Write an equation for the line in point-slope form. Rewrite the equation in standard form using integers. A. y+5= 9/2 (x-7); -9x+2y=53. B. y+7= 9/2 (x+5); -9x+2y=31. C. y+5= 9/2 (x+7); -9x+2y=53. D. y-5= 9/2 (x+7); -9x + 2y=-53.
First, we calculate the slope of the line using: slope = (y₂ - y₁)/(x₂ - x₁) = (4 - (-5)) / (-5 - (-7)) = 9/2 Point slope form: y - y₁ = m(x - x₁) y + 5 = 9/2 x (x + 7) Simplifying to standard form: 2y + 10 = 9x + 63 -9x + 2y = 53 Thus, the answer is C
