Question

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.

Answer 1

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