The equation of line s is y= – 4x– 5/3 . Line t includes the point ( – 3,3) and is parallel to line s. What is the equation of line t?

The equation of the parallel line t is y = -4x  - 9How to determine the line equation?The equation of line s given asy = -4x - 5/3Also, from the questionThe point on line t is given asPoint = (-3, 3)The equation of a line can be represented asy = mx + cWhereSlope = mBy comparing the equations, we have the followingm = -4This means that the slope of y = -4x - 5/3 is -4The slopes of parallel lines are equal This means that the slope of the line t is -4The equation of the parallel line is then calculated asy = m(x - x₁) +y₁Wherem = -4(x₁, y₁) = (-3, 3)Substitute the known values in the above equationy = -4(x + 3) + 3Evaluatey = -4x - 12 + 3Evaluate the sumy = -4x  - 9Hence, the parallel line has an equation of y = -4x  - 9Read more about linear equations atbrainly.com/question/4074386#SPJ1