Question

Write an equation of the line that passes through the given point and has the given slope.

(1,-5); slope -3/2

Answer 1

y – y 1 = m ( x – x 1 ) m = your slope ( x 1 , y 1 ) = your point y – ( − 5 ) = − 3 2 ( x – 1 ) y + 5 = − 3 2 ( x – 1 ) Now we need to do a little algebra to get the equation in standard form: A x + B y = C , where A, B and C are relatively prime integers. y + 5 = − 3 2 x + 3 2 3 2 x + y = 3 2 − 5 now let's multiply through with 2 to get rid if the fractions: 2 ( 3 2 x + y = 3 2 − 5 ) 3 x + 2 y = 3 − 10 3 x + 2 y = 7

Explanation: