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2 years ago

A line includes the points (0,0) and (1,5). What is its equation in slope-intercept form

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

9514 1404 393

Answer:

y = 5x

Step-by-step explanation:

The point (0, 0) tells you the line goes through the origin, so represents a proportional relationship. The slope is simply the ratio of y to x, or 5/1 = 5.

The equation of the line is ...

y = mx + b . . . . . . line with slope m and y-intercept b

y = 5x . . . . . . . . . . line with slope 5 and y-intercept of 0 (the origin)

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Need help on this math question!!!

gavmur [86]

Answer:

s = 10w

Step-by-step explanation:

We can find the equation in slope-intercept form which is y = mx + b. The variables mean:

"b" - for the y-intercept (where the graph hits the y-axis)

"m" - for the slope (how steep the line is)

"x" and "y" - coordinates that satisfy the equation (points on the line)

From the graph, we can see that the y-intercept is 0. b = 0, therefore we do not need to write it in the equation.

To find the slope, "m", use the equation $m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ . To use it, substitute the coordinates for two points. Using the diagram, choose a point 1 and a point 2.

Point 1 (0, 0) x₁ = 0 y₁ = 0

Point 2 (1, 10) x₂ = 1 y₂ = 10

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Substitute values

$m = \frac{10-0}{1-0}$ Subtract to simplify

$m = \frac{10}{1}$ Simplify the fraction

m = 10 Slope of the line

Since we know "m" and "b", we can write the equation:

y = mx + b

y = 10x + 0

y = 10x

We are not using "x" and "y" in this case. Change them according to the question.

x => w

y => s

y = 10x => s = 10w

5 0

3 years ago

to arrive at 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution. How many liters of eac

CaHeK987 [17]

Answer:

800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

Step-by-step explanation:

Given:

At 2000 liters of 60% saline solution the attendant has to mix a 90% and a 40% saline solution.

Now, to find the number of liters of saline solution each should be used.

Let the liters of 90% saline solution mix be $x.$

And let the liters of 40% saline solution mix be $y.$

So, the total number of liters:

$x+y=2000.$

$y=2000-x\ \ \ ....(1)$

Now, the total percentage of saline solution:

$90\%\ of\ x+40\%\ of\ y=60\%\ of\ 2000$

$\frac{90}{100}\times x+\frac{40}{100}\times y=\frac{60}{100}\times 2000$

$0.9x+0.4y=1200$

Substituting the value of $y$ from equation (1) we get:

$0.9x+0.4(2000-x)=1200$

$0.9x+800-0.4x=1200$

$0.5x+800=1200$

Subtracting both sides by 800 we get:

$0.5x=400$

Dividing both sides by 0.5 we get:

$x=800.$

The liters of 90% saline solution mix = 800.

Now, substituting the value of $x$ in equation (1) to get the liters of 40% saline solution:

$y=2000-x$

$y=2000-800$

$y=1200.$

Thus, the liters of 40% saline solution = 1200.

Therefore, 800 liters of 90% saline solution and 1200 liters of 40% saline solution should be used.

8 0

3 years ago

If 2/11x-2=-15/7 then

yarga [219]

Answer:

X= -15/7

Step-by-step explanation:

search up on photomath it's really useful

5 0

3 years ago

An____ is a number, a variable, or a combination of numbers and variables and operation symbols.

TEA [102]

Answer:

Expression.

Step-by-step explanation:An expression containing variables, numbers, and operation symbols is called an algebraic expression. is an example of an algebraic expression. Each expression is made up of terms. A term can be a signed number, a variable, or a constant multiplied by a variable or variables.

3 0

3 years ago

Read 2 more answers

What are the factors of x2 – 144? And

zavuch27 [327]

(x +12) (x -12) =0

x = 12

x = -12

7 0

3 years ago

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