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Nataly [62]
3 years ago
14

There is a line that includes the point(10, 5)and has a slope of 1 What

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).  

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is:  y = x - 5.

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Answer:

\frac{5}{2}

Step-by-step explanation:

5x - 2y = 13 \\ 5x - 13 = 2y \\ 2y = 5x - 13 \\ y =  \frac{5}{2} x -  \frac{13}{2}  \\ equating \: it \: with \\ y = mx + b \\ slope(m) =  \frac{5}{2}

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What is 2625 in expanded form
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Read below-

Step-by-step explanation:

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

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igor_vitrenko [27]
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5 0
3 years ago
You are the administrator of an annual essay contest scholarship fund. This year a $84,000 college scholarship is being divided
shutvik [7]

The winner got $70,000 and the runner up got $14,000

Let the winner be represented by x and runner up by y

Data given;

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<h3>Equation</h3>

x = 5y\\84000 = 5y + y\\84000 = 6y\\y = 14000\\

The runner up received $14000. let's use this data to find how much the winner got.

x = 5y \\x = 5 * 14000\\x = 70000

From the calculations above, the winner got $70,000 and the runner up got $14,000.

Learn more about ratios here;

brainly.com/question/1781657

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The table below represents a linear function f(x) and the equation represents a function g(x):
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Slope of f(x)


Slope of g(x)


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PART B)
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The function G(x) has a bigger y-intercept. The y-intercept of g(x) is 3, while the y-intercept of f(x) is -1.
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