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.

Answer 1

the slope is (4 - -5)/(-5 - -7) = (4 + +5) / ( -5 + +7) = 9/2

using (-5,4) the intercept is B = y - mx = 4 - (9/2)(-5) = 4 + 45/2 = 8/2 + 45/2 = 53/2

Point-slope form: y - 4 = (9/2)(x+5)

slope intercept form: y = (9/2)x +53/2

2y = 9x +53 <--- multiplies both sides by 2

2y - 9x = 53

9x - 2y = -53 <---- standard form with integers only