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2 years ago

A line through (-4,6) with slope-3/2 and graph

Mathematics

1 answer:

marin [14]2 years ago

7 0

Answer:

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

Step-by-step explanation:

Given

Passes through: (-4,6)

Slope: -3/2

Required

The equation and graph

The equation is calculated as:

$y = m(x - x_1) + y_1$

Where

$m = -\frac{3}{2}$

$(x_1,y_1) = (-4,6)$

So, we have:

$y = -\frac{3}{2}(x --4) + 6$

$y = -\frac{3}{2}(x +4) + 6$

Open bracket

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

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

See attachment for graph

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Answer:

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Step-by-step explanation:

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2 years ago

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2 years ago

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frosja888 [35]

Answer:

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Step-by-step explanation:

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3 0

3 years ago

write the equation of the line perpendicular to y= 5/2x+3 that passes through the point (-7,9). Type an answer using slope-inter

omeli [17]

Answer:

5y = -2x + 31

Step-by-step explanation:

Given equation:

y = $\frac{5}{2} x + 3$

Coordinate = (-7,9)

Unknown:

Equation of the line perpendicular = ?

Solution:

The slope - intercept format of a line is given as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

y = $\frac{5}{2} x + 3$

From the given equation; slope is $\frac{5}{2}$

A line perpendicular will have a slope that is negative and the inverse of this;

slope of perpendicular line = $-\frac{2}{5}$

Since y= 9 and x = -7;

So;

9 = $\frac{-2}{5} x (-7)$ + C

9 = $\frac{14}{5}$ + C

C = 9 - $\frac{14}{5}$ = $\frac{31}{5}$

Now,

y = $-\frac{2}{5}$ x + $\frac{31}{5}$

mulitply through by 5;

5y = -2x + 31

3 0

3 years ago

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9966 [12]

Answer:

The lady is on the second door

Step-by-step explanation:

we have that

The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"

The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."

The sign on the second door is true

The sign on the first door is true or false

Since one of these signs is true and the other is false, the sign in the first door must be false

therefore

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3 years ago