Answer:
The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

Step-by-step explanation:
We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.
The equation for slope-intercept form is: 
where m is slope and b is y-intercept.
We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.
Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b

So, y-intercept b = 1
The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

Answer:
247,000
Step-by-step explanation: Because the 7 rounds off the 0 and its a 0 so the 7 stays the same
Answer:
a) The polynomial is equivalent to
, and the side length of the playground is
feet.
b) The perimeter of the playground, measured in feet, is
.
Step-by-step explanation:
a) By Geometry, we know that area of the square is equal to the square of the side length. If
is the area of the square, then must be a perfect square trinomial, that is:
(1)
Then, we must observe the following properties:
(2)

(3)

Therefore, the polynomial is equivalent to
, and the side length of the playground is
feet.
b) The perimeter of a square equals four times the side length. That is:

The perimeter of the playground, measured in feet, is
.
By using the graph (see attachment), the coordinates of the y-intercept of the parabola is (0, 7).
<h3>What is a graph?</h3>
A graph can be defined as a type of chart that's commonly used to graphically represent data points on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the y-intercept of any graph (parabola) occurs at the point where the value of "x" is equal to zero (0).
By critically observing the graph (see attachment), the coordinates of the y-intercept of the parabola is given by:
y-intercept = (0, 7).
Read more on y-intercept here: brainly.com/question/19576596
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An x-intercept is the poin where a graph that intercepts the x-axis. The graph can be a linear function (a line), a quadratic function (a parabola), Higher degree functions and so on.