y- intercept = (0, 4), x-intercept = (- 2, 0)
to find the intercepts let x = 0 and y = 0 in the equation
x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)
y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)
We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.
Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.
y = 3x + 15
Answer: y = 3x + 15
First, divide the the polygon into two quadrilateral.
Then find the area of both quadrilaterals
The area of the small rectangle = 4 x 3 = 12 square feet
The area of the bigger rectangle = (9 - 3) x 14 = 6 x 14 = 84 square feet
Add both areas:
12 + 84 = 96 square feet
