Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
1 answer:
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8
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Solving this equation for x, we have:
![\begin{gathered} 20x^3=7x^5 \\ 7x^5-20x^3=0 \\ x^3(7x^2-20)=0 \\ \begin{cases}x^3=0\to x=0 \\ 7x^2=20\to x=\pm\sqrt[]{\frac{20}{7}}\end{cases} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2020x%5E3%3D7x%5E5%20%5C%5C%207x%5E5-20x%5E3%3D0%20%5C%5C%20x%5E3%287x%5E2-20%29%3D0%20%5C%5C%20%5Cbegin%7Bcases%7Dx%5E3%3D0%5Cto%20x%3D0%20%5C%5C%207x%5E2%3D20%5Cto%20x%3D%5Cpm%5Csqrt%5B%5D%7B%5Cfrac%7B20%7D%7B7%7D%7D%5Cend%7Bcases%7D%20%5Cend%7Bgathered%7D)
Answer:
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Step-by-step explanation:
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Answer: 3
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Answer:
Using the slope-intercept form, the y-intercept is 7
Step-by-step explanation:
