Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points 
and 
is given as:
where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,
Formula for slope is:
Now, the equation of line becomes:
Putting the point (4,3) in the above equation to find <em>c</em>:
So, final equation of given function is:
OR
As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is 
.
-x + 5y = 8....we need to put this in y = mx + b form to find the slope...the slope will be in the m position.
5y = x + 8
y = 1/5x + 8/5.....so the slope is 1/5...a perpendicular line will have a negative reciprocal slope. So the slope we need is -5.
y = mx + b
slope(m) = -5
(7,-1)..x = 7 and y = -1
now we sub and find b, the y int
-1 = -5(7) + b
-1 = -35 + b
-1 + 35 = b
34 = b
so ur perpendicular line is : y = -5x + 34
the original slope was 1/5...a parallel line will have the same slope
y = mx + b
slope(m) = 1/5
(7,-1)...x = 7 and y = -1
now we sub and find b, the y int
-1 = 1/5(7) + b
-1 = 7/5 + b
-1 - 7/5 = b
-5/5 - 7/5 = b
-12/5 = b
so ur parallel line is : y = 1/5x - 12/5
How much does the stereo cost?
$15 * 10 is $150. If the stereo costs less than 150 dollars he will be able to buy the stereo. If not, he won't be.
5.49 $, just add them altogether
