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3 years ago

Identify and equation in point-slope form for the line parallel parallel to y=-2/3×+8 that passes through 4,-5

Mathematics

1 answer:

GrogVix [38]3 years ago

4 0

Parallel= same slope
Point slope: y - y1 = m(x - x1)
y + 5 = -2/3( x - 4)

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2 years ago

What is the area of the semicircle in square feet (use 3.14 for π.) helpp due in 21 minutes

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3 years ago

Write an equation of the line that passes through (18,2) and is parallel to the line 3y-x=-12 .

uysha [10]

Answer:

$y = \frac{1}{3}x-4$

Step-by-step explanation:

Step 1: Solve for y in the first equation

$3y - x = -12$

$3y - x + x = -12 + x$

$\frac{3y}{3} = \frac{x}{3} - \frac{12}{3}$

$y = \frac{1}{3}x - 4$

Step 2: Determine the important aspects

We know that our line is parallel to the other line that has a slope of 1/3 which means that our slope is also going to be 1/3. We also know that our line crosses the point (18, 2) which means that we can use the point slope form to determine our equation

Point Slope Form → $(y-y_1) = m(x - x_1)$

Step 3: Plug in the information and solve

$(y-2) = \frac{1}{3}(x - 18)$

$y - 2 = \frac{1}{3}x - 6$

$y - 2 + 2 = \frac{1}{3}x - 6 + 2$

$y = \frac{1}{3}x-4$

Answer: $y = \frac{1}{3}x-4$

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2 years ago