Mathematics, 28.11.2019 04:31 jennamae9826

Which of the following is an equation for the line that passes through the point (0,0) and is perpendicular to the line shown above ?

Which of the following is an equation for the line that passes through the point (0,0) and is perpen

Answers: 3

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Answer from: worstell

Option A. $y=\frac{5}{4}x$

Step-by-step explanation:

step 1

Find the slope of the line shown in the graph

The given line pass through the points (0,3) and (5,-1) (see the graph)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-1-3}{5-0}$

$m=\frac{-4}{5}$

$m=-\frac{4}{5}$

step 2

Find the slope of the line perpendicular to the line shown in the graph

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

$m_1=-\frac{4}{5}$ ---> slope of the line shown in the graph

substitute

$(-\frac{4}{5})*m_2=-1$

therefore

$m_2=\frac{5}{4}$

step 3

Find the equation of the line that passes through the point (0,0) and is perpendicular to the given line in the graph

we have

$m=\frac{5}{4}$

$point\ (0,0)$

Remember that

If a line pass through the origin, then represent a proportional relationship

The linear equation is equal to y=mx

substitute

$y=\frac{5}{4}x$

Answer from: AlmightyThadd

A. y = $\frac{5}{4}x$

Step-by-step explanation:

The equation of a straight line is given as;

y = mx + c

where: m is the slope and c is the intercept

For the line to pass through points (0, 0), then intercept, c is zero.

So that, y = mx

From the graph, slope, m = $\frac{5}{4}$

Therefore, the required equation is;

y = $\frac{5}{4}x$

Answer from: Quest

to plot points for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4) in the parenthesis on the left of the comma is x and the right is y.

Answer from: Quest

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

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