8. Mr. Gardner is contemplating which shullle service to take lo the airport. Fost

Mathematics

1 answer:

Lisa [10]3 years ago

5 0

Answer:

Frosts second mile and steadys 6th mike

Step-by-step explanation:

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She didn't estimate her answer first

WHAT IS THE QUESTION ON KENDRA'S HOMEWORK?

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3 years ago

1. Multiply 3/10 x 5/6

elena-14-01-66 [18.8K]

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What is the equation of the line that passes through the point (4, 6) and is parallel to the line 2y - 4x = 1?

Cloud [144]

Answer:

D. y = 2x - 2

Step-by-step explanation:

1) First, find the slope of the given line. Place it in slope-intercept form to identify its slope easily. Isolate the y in the equation:

$2y-4x = 1\\2y = 4x+1\\y = 2x+\frac{1}{2}$

A line placed in slope-intercept form is represented by the formula $y = mx + b$ . The $m$ , or the coefficient of the x-term, represents the slope. Thus, the slope of this line is 2.

2) Lines that are parallel share the same slope. So, the slope of the parallel line will have 2 as its slope as well.

We now have enough information to write the equation of the line in point-slope form. From there, we can convert it to slope-intercept form and find out which option is correct.

Use the point-slope formula $y-y_1 = m (x-x_1)$ and substitute values for $m$ , $x_1$ , and $y_1$ . Since $m$ represents the slope of the line, substitute 2 in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (4,6) into the formula as well. Then, with the resulting equation, isolate y like before to find which option is correct: