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3 years ago

The straight line L has the equation 4y=5x+3

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

Answer:

y = -4/5x + 2/5

Step-by-step explanation:

$4y=5x+3\\write -in ; y=mx+b -form\\y = \frac{5}{4} x + \frac{3}{4} \\m = 5/4\\m_1m_2 = -1\\5/4m_2 =-1\\m_2 = -4/5\\ (3,-2)\\x = 3\\y = -2\\y = mx+b\\-2 = -\frac{4}{5}(3) +b\\-2 = -12/5 +b\\-2+12/5 = b\\2/5 = b\\m = -4/5\\Substitute -new-values-into-slope-intercept-form\\y = mx+b\\y = -4/5x + 2/5$

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Answer:

Step-by-step explanation:

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VMariaS [17]

Answer:

$\boxed {\boxed {\sf d= \sqrt{34}}}$

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

$d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.

We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:

x₁= -2
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Substitute the values into the formula.

$d= \sqrt {(-2-3)^2+(2--1)^2$

Solve the parentheses.

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$d= \sqrt{(-5)^2+(3)^2$

Solve the exponents.

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$d= \sqrt{25+9}$

Add.

$d= \sqrt{34}$

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