Write an equation in point-slope form for the line through the given point with the given slope. the point 8, negative 3; m equals negative one fourth. a. y plus 3 equals negative one fourth times the quantity x minus 8 end of quantity. b. y minus 3 equals negative one fourth times the quantity x minus 8 end of quantity. c. y minus 3 equals negative one fourth times the quantity x plus 8 end of quantity. d. y minus8 equals negative one fourth times the quantity x plus 3 end of quantity.

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?