3 years ago

Question in picture solve

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer is the 3rd option

Aneli [31]3 years ago

7 0

It’s c or the third option

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What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

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Divide by $4$ both sides

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the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

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The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

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therefore

<u>the answer is</u>

$y=-\frac{3}{4}x+4$

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a 45-45-90 states that the legs are congruent and the hypotenuse is leg√2

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