Answer:
y=1/2x-5
Step-by-step explanation:
We have slope so we just need to find the y intercept.
slope intercept formula is
y=mx+b
(m) is slope
(b) is y int
y=1/2x+b
now apply our given x and y values (4 & -3)
-3=1/2(4)+b
simplify
-3=2+b
subtract 2 from each side
-5=b
put that into our equation
y=1/2x-5
Answer:


Step-by-step explanation:
The equation of a line can be written in several forms. Two of the most-used forms are the point-slope and the slope-intercept forms.
The point-slope form requires to have one point (xo, yo) through which the line passes and the slope m. The equation expressed in this form is:

The slope-intercept form requires to have the slope m and the y-intercept b, or the y-coordinate of the point where the line crosses the y-axis. The equation is:

The line considered in the question has a slope m=6 and passes through the point (8,-2). These data is enough to find the point-slope form of the line:

To find the slope-intercept form, we operate the above equation:


403.608 as word form is:
Four hundred three and six hundred eight thousandths.
Answer:

with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

is given by:

In our case, the quadratic expression that generates the parabola is:

then the x-position of its vertex is:

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position
:

Therefore the answer is:

with the video game cost of x = $6