A line passes through the points (0, -8) and (5, 10). What is its equation in slope-intercep
1 answer:
<h2>Answer: y = ¹⁸/₅ x - 8
</h2>
Step-by-step explanation:
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, (0, -8) and (5, 10), 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)
= (10 - (- 8)) ÷ (5 - 0)
= ¹⁸/₅
<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 - (-8) = ¹⁸/₅ (x - 0)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - (-8) = ¹⁸/₅ (x - 0)
⇒ y + 8 = ¹⁸/₅ x
∴ y = ¹⁸/₅ x - 8
<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>
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Answer:
The total purchase is $ 1213.13 .
Step-by-step explanation:
As given
You buy some living room furniture.
The coffee table costs $189.99.
The loveseat costs $249.95.
The sofa costs $493.68, and 2 chairs cost $98.75 each.
Total cost of the furniture = coffee table costs + loveseat costs + sofa costs + 2 chairs cost
Put the value in above
Total cost of the furniture = $189.99 + $249.95 + $493.68 + 2 × $98.75
Total cost of the furniture = $189.99 + $249.95 + $493.68 + $197.5
Total cost of the furniture = $1131.12
As Sales tax is 7.25% .
7.25% is written in the decimal form.
= 0.0725
Sales tax price = 0.0725 × $1131.12
= $ 82.01 (Approx)
Total purchase = Total cost of the furniture + Sales tax price
= $1131.12 + $ 82.01
= $ 1213.13
Therefore the total purchase is $ 1213.13 .