Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m = 1/2 , (3, 4)

x - 2y = - 2

Step-by-step explanation:

Given the following :

1/2 , (3, 4),

The equation of a line :

y = mx + c

m = slope ; c = gradient

m = 1/2

c = (y1 - x1) / 2

c = (4 - 3) / 2 = 1/2

Hence, y = 1/2x + 1/2

In standard form:

Ax + By = C

A and B integer Coefficient of x and y respectively

y = 1/2x + 1/2

1/2x - y = - 1/2

Multiply both sides by 2

x - 2y = - 2

Hence, standard form of the equation is :

x - 2y = - 2

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204