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3 years ago

A line passes through the point (-4,6) and has a slope of 5/4

Mathematics

2 answers:

FinnZ [79.3K]3 years ago

7 0

Answer:

Step-by-step explanation:

I will ASSUME you want an equation

In slope/intercept form it is

6 = (5/4)(-4) + b

b = 11

y = (5/4)x + 11

or in slope/point form is

(y - 6) = (5/4)(x + 4)

kondaur [170]3 years ago

5 0

Answer:

4y-5x-44=0

Step-by-step explanation:

It passes through one point with the formula being

y-y1=m(x-x1)

y-6=5/4(x-(-4))

y-6=5/4(x+4)

cross multiply

4(y-6)=5(x+4)

4y-24=5x+20

collect like terms

4y-5x=20+24

4y-5x=44

4y-5x-44=0

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steposvetlana [31]

The answer to your question is 225

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3 years ago

4. Write an equation for the line that is parallel to the given line and that passes

pentagon [3]

Answer:

$y=\frac{5}{2}x-14$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope (m)

$y=\frac{5}{2}x-10$

In the given equation, $\frac{5}{2}$ is in the place of m, making it the slope. Because parallel lines have the same slope, the line we're currently solving for therefore has a slope of $\frac{5}{2}$ . Plug this into $y=mx+b$ :

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

2) Determine the y-intercept (b)

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

Plug in the given point (-6,-29) and solve for b

$-29=\frac{5}{2}(-6)+b$

Simplify -6 and 2

$-29=\frac{5}{1}(-3)+b\\-29=(5)}(-3)+b\\-29=-15+b$

Add 15 to both sides to isolate b

$-29+15=-15+b+15\\-14=b$

Therefore, the y-intercept is -14. Plug this back into $y=\frac{5}{2}x+b$ :

$y=\frac{5}{2}x-14$

I hope this helps!

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3 years ago

1 5/8 write as a decimal

oksian1 [2.3K]

It goes as 1.875. Hope this helped you :)))

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3 years ago

Read 2 more answers

Pleaseeeeeeeeeeee helpppppppppppppppp

gulaghasi [49]

Answer:

hirap naman yan basahin mo kasi directions

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3 years ago

Let x1 = 12, y1 = 15, and y2 = 3. Let y vary inversely with x. Find x2.

Ostrovityanka [42]

We have that an inverse variation in a function is given by:
$y = k / x
$
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
$15 = k / 12
$
Clearing k we have:
$k = (15) * (12)

k = 180$
Substituting the value of k we have that the inverse variation is:
$y = 180 / x
$
For y2 = 3 we have:
$3 = 180 / x2
$
Clearing x2 we have:
$x2 = 180/3$
$x2 = 60$
Answer:
$x2 = 60$

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4 years ago