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3 years ago

Write the equation of the line with y-intercept 3 and a slope of – 2/3

Mathematics

2 answers:

solniwko [45]3 years ago

8 0

Answer:

$y = - \frac{2}{3} x + 3$

Step-by-step explanation:

$y = mx + b$

where y us unknown, m is -2/3 and b is 3

statuscvo [17]3 years ago

7 0

Answer:

y = -2/3x + 3

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2/3x + 3

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Read 2 more answers

Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

aleksley [76]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$

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