eric practiced piano and guitar for a total of 8 hours this week . He practiced the piano 1/4 of that time. How many hours did e
2 answers:
Answer: Eric practiced piano for 2 hours this week.
Step-by-step explanation: Given that Eric practiced piano and guitar for a total of 8 hours this week . He practiced the piano of that time.
We are to find the number of hours that Eric practiced the piano this week.
Let, 'h' represents the number of hours that Eric practiced piano this week.
Then, according to the given information, we have
Thus, Eric practiced piano for 2 hours this week.
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<h2>Answer: y = - ¹/₂ x OR y - 1 = - ¹/₂ (x + 2) </h2><h3>Step-by-step explanation: </h3>
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (-2, 1) and (-8, 4), from which we can find the slope and later the equation of the line.
<u>Finding the Slope </u>
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (4 - 1) ÷ (-8 - (-2))
= - ¹/₂
<u>Finding the Equation</u>
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - 1 = - ¹/₂ (x - (-2))
∴ y - 1 = - ¹/₂ (x + 2)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - 1 = - ¹/₂ (x + 2)
⇒ y = - ¹/₂ x
<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>