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2 years ago

The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-slope

Mathematics

1 answer:

lara [203]2 years ago

7 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

1) Find m(the slope of the equation):

Since the slope-intercept form is already given, then you can obtain the slope from it by using y = mx + b

m=5

2) Substitute the given point into the point-slope form y - y1 = m(x - x1)

y-(-13) = 5(x - (-2))

y + 13 = 5(x + 2)

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Are 30/80 and 24/64 proportional

Flura [38]

Answer:

Yes, they are proportional

Step-by-step explanation:

First, simplify each fraction

30/80 can be simplified by dividing each number by 10

30/80

= 3/8

24/64 can be simplified by dividing each number by 8

24/64

= 3/8

So, each fraction will simplify to 3/8, meaning that they are proportional.

5 0

2 years ago

If f(x)=x^3-x, what is the average rate of change of f(x) over the interval [1,5]?

RSB [31]

Answer:

Step-by-step explanation:

Average rate of change=Δf(x)/Δx = [f(x2)-f(x1]/[x2-x1]

Δf(x)/Δx = [f(5)-f(1]/[5-1]

f(5)=5³-5=120

f(1)=1³-1=0

Δf(x)/Δx = [120-0]/[5-1]=120/4=30

4 0

2 years ago

Evaluate the expression. [3(15 + 4)^2 + 2(20 + 5)^2]^0 A) 0 B) 1 C) 2 D) 5

ziro4ka [17]

Answer:

1 thus b: is the Answer

Step-by-step explanation:

Simplify the following:

(3 (15 + 4)^2 + 2 (20 + 5)^2)^0

(3 (15 + 4)^2 + 2 (20 + 5)^2)^0 = 1:

Answer: 1

5 0

2 years ago

A box has dimensions of 14 inches long, 1.5 feet wide, and

Liula [17]

1764 inches cubed. First you multiply 1.5 times 12 so that it is in inches. Then u get 18. U multiply 14 by 18 by 7 and u get 1764.

7 0

2 years ago

Equation for ( 6, 13) ( 7900, 5 )

tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y=mx+b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)$

We find the slope of the line:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}$

Thus, the equation of the line is of the form:

$y = - \frac {4} {3947} x + b$

We substitute one of the points and find b:

$13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}$

Finally, the equation is:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

Answer:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

5 0

2 years ago