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1 month ago

Determine the slope of the line 3x − 5y − 6 = 0

Mathematics

2 answers:

babunello [11.8K]1 month ago

5 0

Answer:

The slope is.6

Step-by-step explanation:

To ascertain the slope of a line, the equation must be in slope/intercept form, y=mx+b. This implies isolating the y variable.

3x-5y-6=0

This can be achieved by simply adding 5y to the equation

+5y

3x-6=5y

To eliminate that unwelcome 5, we will divide by 5.

.6x - 1.2 = y

Reorganizing gives

y =.6x - 1.2

Thus, the slope is.6, with the y-intercept at -1.2.

Leona [12.6K]1 month ago

3 0

Answer:

slope 3/5

Step-by-step explanation:

3x − 5y − 6 = 0

To determine the slope, we need to express y

(y = mx+b this is the slope-intercept form of the equation)

Add 5y to both sides

3x − 5y + 5y − 6 = 0 + 5y

3x - 6 = 5y

Now, divide by 5

3/5x - 6/5 = 5y/5

3/5 x - 6/5 = y

The slope is 3/5 and the y-intercept evaluates to -6/5

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The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. T

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Pavel’s pocket money increases from €12 per week to €15 per week. Work out the percentage increase in his pocket money.

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This reflects a 25% rise.

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17 days ago

A sprinter ran a race in 11 seconds. What is the domain of this graph?

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25 days ago

Match each pair of points to the equation of the line that is parallel to the line passing through the points.

Svet_ta [12734]

It's known that

When two lines are parallel, their slopes are identical.

The slope between any two points can be calculated using the following formula:

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

We will calculate the slope for each case to find the solution to the problem.

Case A) Point $B(5,2)\ C(7,-5)$

Determine the slope of BC

Insert the values into the formula:

$m=\frac{-5-2}{7-5}$

$m=\frac{-7}{2}$

$m=-3.5$

Thus,

The equation $y=-3.5x-15$ is parallel to the line that goes through the points $B(5,2)\ C(7,-5)$

Therefore,

the result for Part A) is

$B(5,2)\ C(7,-5)$ ------> $y=-3.5x-15$

Case B) Point $D(11,6)\ E(5,9)$

Calculate the slope of DE

Plug the values into the formula:

$m=\frac{9-6}{5-11}$

$m=\frac{3}{-6}$

$m=-0.5$

Thus,

The equation $y=-0.5x-3$ is parallel to the line that goes through the points $D(11,6)\ E(5,9)$

Therefore,

the result for Part B) is

$D(11,6)\ E(5,9)$ ------> $y=-0.5x-3$

Case C) Point $F(-7,12)\ G(3,-8)$

Determine the slope of FG

Insert the values into the formula:

$m=\frac{-8-12}{3+7}$

$m=\frac{-20}{10}$

$m=-2$

Thus,

Any linear equation with slope $m=-2$ will be parallel to the line through the points $F(-7,12)\ G(3,-8)$

Case D) Point $H(4,4)\ I(8,9)$

Calculate the slope of HI

Substitute the values in the formula:

$m=\frac{9-4}{8-4}$

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

$m=1.25$

Thus,

The equation $y=1.25x+4$ is parallel to the line through the points $H(4,4)\ I(8,9)$

Therefore,

the result for Part D) is

$H(4,4)\ I(8,9)$ ------> $y=1.25x+4$

Case E) Point $J(7,2)\ K(-9,8)$

Determine the slope of JK

Insert the values into the formula:

$m=\frac{8-2}{-9-7}$

$m=\frac{6}{-16}$

$m=-0.375$

Thus,

Any linear equation characterized by slope $m=-0.375$ will be parallel to the line that runs through the points $J(7,2)\ K(-9,8)$

Case F) Point $L(5,-7)\ M(4,-12)$

Find the slope of LM

Substitute the values in the formula:

$m=\frac{-12+7}{4-5}$

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

$m=5$

Thus,

The equation $y=5x+19$ is parallel to the line connecting the points $L(5,-7)\ M(4,-12)$

Therefore,

the result for Part F) is

$L(5,-7)\ M(4,-12)$ ------> $y=5x+19$

8 0

1 month ago

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