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
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<h3>Answer:</h3>
- x-intercept: 82.75
- y-intercept: -2.15
To find the x-intercept, set y=0 and solve.
... 0 = log(12x +7) -3
... 3 = log(12x +7) . . . . add 3
... 1000 = 12x +7 . . . . take the antilog. (10^3 = 1000)
... 993 = 12x . . . . . . . .subtract 7
... 82.75 = x . . . . . . . . divide by 12
To find the y-intercept, set x=0 and solve.
... y = log(12·0 +7) -3
... y = log(7) -3 . . . . . . simplify
... y ≈ 0.85 -3 = -2.15 . . . . use a calculator for the log function