Identify the slope and y-intercept of the graph of the equation.
1 answer:
Answer:
y = 1/3x - 2
Slope = 1/3
y- intercept = -2
Step-by-step explanation:
To find the slope and y-intercept, first put the equation in y = mx + b format, Where m is your slope and b is your y-intercept.
Step one: Subtract x from both sides
To translate x over to the right side of the equation, subtract x from both sides, leaving you with this equation:
x - x -3y = -x + 6; which simplifies to:
-3y = -x + 6
Step Two: Divide Every Term By Negative 3
To get y alone by itself we need to cancel out -3 on the right side of the equation, to do that you must divide every term by negative 3 leaving you with this equation:
y =
x +
; which simplifies to:
y = 1/3x - 2
M, slope, = 1/3
B, y-intercept, = -2
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The given shapes area is found to be 4 square yards.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.
Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards
Area of the triangle = * base * height =
* 5 * 4 = 10 square yards.
The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.
Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.
Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.
Area of given shape = Area of the triangle - Area of the rectangle.
Area of given shape = 10 square yards - 6 square yards = 4 square yards.