The equation of line p is y=ax+b. Which of these could be the equation of line q? A.y=−3a(x+6)+b
2 answers:
Answer:
Equation of line q: y=3ax+b-6
D is correct.
Step-by-step explanation:
The equation of line p is y=ax+b
Blue line is the graph of line p.
In graph we can see slope is positive and y-intercept (0,5)
So, a>0 and b=5
Passing point of p is (-2,1)
We can find the value of a also
The equation of line p: y=2x+5 ( Blue Line)
Now, we find the equation of line q using blue line.
The slope of line q is positive and greater than 2
Possible options are C and D because A and B are negative slope.
y-intercept of red line is (0,-1)
y-intercept of p (0,5)
y-intercept of q (0,-1)
If we shift 6 unit down of line p to get line q
y=3ax+b-6 (Red line)
Hence, The equation of line q is y=3ax+b-6
You might be interested in
Answer:
It takes the second worker 11 hours to do the job alone
Step-by-step explanation:
The problem tells you how to work it.
x = 11 tells you the second worker takes 11 hours to do the job alone.
_____
You can also work directly with the fractions. Subtract 1/11 and you have ...
1/x = 1/11
It should not be a real stretch to see that x=11. If you need, you can multiply both sides by 11x to get 11=x.