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Answer:
The the equation of the line through the points (8, -2) and (5, 5) in slope-intercept form is
Step-by-step explanation:
Let's start by calculation the slope of the line by finding the slope of the segment that joins the two given points (8, -2) and (5, 5):
Now we use this slope in the general slope-intercept form of a line;
and then we calculate the value of the intercept "b" by using one of the given points through which the line must pass (for example (5,5) ), and solving for b:
The the equation of the line is
Answer:
t = 40
Step-by-step explanation:
Given the logarithmic expression:
Use the Logarithmic Property (Quotient Rule):
Next, using the Logarithmic Property:
We must determine the possible value of <em>t</em> that can be divided by 5 to produce a quotient of 8 that will make the <u>logarithmic property</u>, , true. In that case,<em> t </em>= 40 divided by 5 results in a quotient of 8.
Therefore, the value of <em>t</em> = 40.