Question

Which equation represents the line that passes through the points (6,-3) and (-4,-9)

Answer 1

Answer:

D

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (6, - 3) and (x₂, y₂ ) = (- 4, - 9)

m = $\frac{-9+3}{-4-6}$ = $\frac{-6}{-10}$ = $\frac{3}{5}$

using (- 4, - 9) or (6, - 3) for (a, b)

using (- 4, - 9), gives

y + 9 = $\frac{3}{5}$(x + 4) ← not one of the options

using (6, - 3), gives

y + 3 = $\frac{3}{5}$(x - 6) ← option D