Answer Asap. Due tonight
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Use following log property:
Take log of both sides
Distribute left side, isolate 'x'
Take log of both sides
Distribute left side, isolate 'x'
Answer: <u>y = -(1/2)x + 3</u>
<u></u>
Step-by-step explanation:
<u>y = 2x - 1</u>
This is in the format of y=mx + b, where m is the slope and b is the y-intercept (the value of y when x=0).
Perpendicular lines have a slope that is the negative inverse of the reference line. The slope of this reference line is 2, so the slope of a perpendicular kline will be -(1/2).
This yields the equation y = -(1/2)x + b
To find the value of b, we can use the given point, (0,3) and use these values of x and y to solve for b:
y = -(1/2)x + b
3 = -(1/2)(0) + b
b = 3
The equation of a line perpendicular to y = 2x - 1 and goes through point (0,3) is:
y = -(1/2)x + 3
