Algebra 2 help!
1 answer:
<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
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Answer:
Step-by-step explanation:
We first need to find the slope of the given line. Putting that standard form of a line into slope intercept:
12y = -3x - 6 so
In this form we can easily determine that our slope is -1/4. That means that the perpendicular slope, the opposite reciprocal, is +4. We will write first the point slope of the new line using our given point, then solve it for y, putting it into slope-intercept form. y - (-7) = 4(x - (-1)) and
y + 7 = 4x + 4 so
y = 4x + 4 - 7 so
y = 4x - 3