Question

Write the equation of the line that passes through A(-3,-2) and B(1,6).

Express your answer in y=mx+b form. ​

Answer 1

y = 2x+4

Explanation:

`A(-3,-2) and B(1,6).\\\\x_1 = -3\\y_1 = -2\\x_2 = 1\\y_2 =6\\(y-y_1)/(x-x_1) =(y_2-y_1)/(x_2-x_1) \\(y -(-2))/(x -(-3)) =(6-(-2))/(1-(-3))\\(y+2)/(x+3) = (6+2)/(1+3) \\(y+2)/(x+3) = (8)/(4) \\Cross-multiply\\4(y+2) =8(x+3)\\4y +8 =8x+24\\4y = 8x +24-8\\4y = 8x+16 \\OR\\ y = 2x+4`