Write an equation in standard form Ax=By=C of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16)

Question

Write an equation in standard form

A x = B y = C

of the line that satisfies the given conditions. Use integer values for A, B, and C. passes through (2, 8) and (-4, 16)

Answer 1

Find the slope.

m = \frac{16 - 8}{- 4 - 2} = \frac{8}{- 6} = \frac{- 4}{3}

Write the equation in point-slope form, simplify, then rewrite in standard form.

y - 8 = \frac{- 4}{3} (x - 2)

Simplify

y - 8 = \frac{- 4}{3 x} + \frac{8}{3}

Simplify

y = \frac{- 4}{3 x} + \frac{32}{3}

Multiply both sides by 3 to put in standard form.

3 y = - 4 x + 32

Put in

A x + B y = C

form

4 x + 3 y = 32

Expert Answer