Answer:
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
where
is the slope and
is the y-intercept (the value of y when the line crosses the y-axis)
<u>1) Plug the slope (m) into the equation</u>
We're given that the slope is -3. Plug -3 into the equation
<u>2) Solve for the y-intercept (b)</u>
To solve for b, plug the given point (-1,-5) into the equation as (x,y).
Subtract 3 from both sides
Therefore, the y-intercept is -8. Plug -8 back into our original equation as b
I hope this helps!
The logarithmic expression of 4^(1/2) = 2 is
The expression is given as:
4^(1/2) = 2
Take the logarithm of both sides
log(4^(1/2)) = log(2)
Apply the change of base rule
1/2log(4) = log(2)
Divide both sides by log(4)
1/2 = log(2)/log(4)
Change the base
Rewrite as:
Hence, the logarithmic expression of 4^(1/2) = 2 is
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