Find the area of the following shape. You must show all work to receive credit.

Make 3 separate shapes. A triangle on the left: 1/2 x 4 x 4 = 8

A triangle top right: 1/2 x 2 x 2 = 4

A rectangle Lowe right: 2x1 = 2

Total are = 8 + 4 + 2 = 14 square units

You're first asked to find the equation for the function in slope-intercept form. Slope-intercept means that you need to find an equation that can be written as y=mx+c, where m and c are numbers and m is the slope of the line and c is the y-intercept (i.e. the value of y when x is 0).

You already have three values of x and their corresponding y values (or f(x)).

If you write out your equation y=mx+c, subsituting in the values of x and y that you already know, you can then solve th equations as simultaneous equation to find your values of m and c.

So:

For x=10, y=21.75

so:

21.75=10m+c (Call this Equation 1)

For x=14, y=30.35

so:

30.35=14m+c (Call this Equation 2)

If you take Equation 2 from Equation 1, you will eliminate c leaving you with an equation you can solve to find the value of m. So:

[30.35=14m+c] - [21.75=10m+c]

Step-by-step explanation: