Consider the equation of the line, c(c2 + 2)y = c − x where c > 0 is a constant. (a) find the coordinates of the x-intercept and the y-intercept. x-intercept ( , ) y-intercept ( , ) (b) find a formula for the area of the triangle enclosed between the line, the x-axis, and the y-axis. a(c) =

Part a)

The y-intercept is the point

The x-intercept is the point

Part b) The formula of the area of triangle is equal to

Step-by-step explanation:

step 1

Find the coordinates of the x-intercept and the y-intercept

we have that

The equation of the line is equal to

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0

simplify

The y-intercept is the point

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0

The x-intercept is the point

step 2

Find the formula for the area of triangle enclosed between the line, the x-axis, and the y-axis

The formula for the area of triangle is equal to

In this problem

-----> the x-intercept

----> the y-intercept

substitute

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step-by-step explanation:

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