determine a equação da reta que passa pelos pontos A (5,-3) e B(2,4)

(5, -3) y = ax + b -3 = 5a + b (2, 4) y = ax + b 4 = 2a + b (-1) -4 = -2a - b 5a + b = -3 -2a - b = -4 3a = -7 a = [latex]\frac{-7}{3}[/latex] 5a + b = -3 5.[latex]\frac{-7}{3}[/latex] + b = -3 [latex]\frac{-35}{3}[/latex] + b = -3 b = -3 + [latex]\frac{35}{3}[/latex] b = [latex]\frac{26}{3}[/latex] a = [latex]\frac{-7}{3}[/latex];  b = [latex]\frac{26}{3}[/latex] y = ax + b y = [latex]\frac{-7x \ + \ 26}{3}[/latex]