Line cd passes through points c(3, –5) and d(6, 0). what is the equation of line cd in standard form?

the equation of line cd in standard form is 2y = 5x - 25   .

step-by-step explanation:

equation of the line.

where m is the slope of the equation.

as the line cd passes through points c(3, –5) and d(6, 0).

than

put in the above

2y = 5x - 15 -10

2y = 5x - 25

therefore the equation of line cd in standard form is 2y = 5x - 25   .

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this