Two corners of a rectangle are on the x axis between x = 0 and 10. The other two corners are on the lines whose equations are y = 2x and 3x + y = 30. For what value of y will the area of the rectangle be a maximum?

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

step-by-step explanation: