Correct answer: y =
x + 2
To find out the slope, you would need to remember this slope formula:
. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as
and
, and (0, 2) as
and
. Now we can plug these numbers into the slope formula to find out the slope:
m =
→
→
→ 
To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.
y = mx + b
(3) =
(3) + b
3 = 1 + b
2 = b
You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.
Now we know that m =
and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y =
x + 2.
Hope this helps you! Let me know if you have any more questions related to this problem.
Answer:
(i) 22.5
(ii) 7.2
Step-by-step explanation:
(i)
AB:PQ = 2:5 = 1:2.5
So PQ is 2.5 times longer than AB.
PQ=2.5AB=(2.5)9=22.5
(ii):
Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:
QR=2.5BC
BC=QR/2.5=18/2.5=7.2
Answer:
It is 0 percent
Step-by-step explanation:
because khan acadamy said so
Answer:
The complete question is to: <em>Find the company's break-even point for the desk. </em>
<em>Answer: </em><u><em>400 desks</em></u><em> to break-even.</em>
Step-by-step explanation:
<em>Let's let x = the number of desks.</em>
Therefore:
k(x) = 150x + 14 000 and;
q(x) = 500x
<em>In conclusion:</em>
k(x) = q(x)
150x + 14 000 = 500x
14 000 = 350x
<em>400 = x</em>
<em>400 desks should be sold for the company to break-even</em>