What is the equation of this line?

Mathematics

1 answer:

GenaCL600 [577]3 years ago

8 0

Answer:

Its A) y=3/2x

Step-by-step explanation:

-3/2x would be the exact opposite of 3/2x it would be the same line but facing the left side because its on the negative side. And the others are not the same as 3/2x.

Sorry if i could not explain that well, but I am 99% sure its A, y=3/2x

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Answer:

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A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

umka21 [38]

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_{1},y_{1})=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_{2},y_{2})=(3,180)$

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope $m$ : </u>

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_{1},y_{1})=(0,300)$