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kiruha [24]
3 years ago
5

A line with a slope of -7 passes through the points (u,0) and (8,-7) what is the value of u?

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

u = 7

Step-by-step explanation:

Using the slope intercept formula:

\frac{y2 - y1}{x2 - x1}  = slope

Substitute our values from the points and the known slope:

\frac{-7 - 0}{8 - u} = -7

Now we multiply both sides by (8 - u) to isolate the x:

(8-u) x \frac{-7}{8 - u} = -7 (8 - u)

Next we add 56 to both sides:

-7 = -56 + 7u

Finish off by dividing both sides by 7:

7u = 49

u = 7

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Identify the slope and y-intercept of the line whose equation is given. write the y-intercept as an ordered pair. y = negative 2
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The line having the equation, y = -2x + 5, has a slope = -2, and y-intercept = (0, 5). Thus, <u>option A</u> is the best choice.

The slope of a line is the tangent of the angle that the line makes with the positive side of the x-axis.

The y-intercept of a line is the point at which the line intersects the y-axis.

The standard form of a line is <u>y = mx + b</u>, where m represents the slope of the line, and b represents its y-intercept.

In the question, we are asked to identify the slope and the y-intercept of the line whose equation is y = -2x + 5.

Comparing the given equation of the line, y = -2x + 5, with the standard equation of a line, y = mx + b, we can say that,

m = -2, and b = 5.

Representing b as an ordered pair, we get (0, 5), as b represents the y-intercept which is a point on the y-axis, where the x-coordinate is always equal to zero.

Thus, we get the slope = -2, and the y-intercept = (0, 5).

The option representing the answer is <u>option A</u>.

Learn more about the slope and the y-intercept of a line at

brainly.com/question/1479018

#SPJ4

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