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liubo4ka [24]
2 years ago
9

Find the equation to the line below.

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
8 0

Answer:

y=-1/1x

Step-by-step explanation:

First, let's take the slope of a line equation:

y=mx+b

Now, all we have to do is find the slope(m) and the y-intercept(b).

The line intercepts the y axis at 0, so b=0.

Next, find the slope.

The equation to FIND slope is rise/run, so we can solve that:

1/1=1, but since the line goes down, it's negative.

The slope is 1, so m=1.

Now, put that into m.

y=-1x+0, but we don't need 0, so the answer is y=-1x.

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3 years ago
What is the point-slope form of the equation for the line with a slope of -2 that passes through the point (4,-6)
LUCKY_DIMON [66]

Answer:

y + 6 = -2 (x-4)

Step-by-step explanation:

Point-slope formula is represented by the equation y-y_1 = m (x-x_1). When knowing a point a line crosses through and its slope, you can write an equation in this form. Substitute the m, x_1, and y_1 for real values.

The m represents the slope of the line. Since we know the slope is -2, substitute -2 for m. The x_1 and y_1 represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for x_1 and -6 for y_1. This gives the following answer and equation:

y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)

6 0
3 years ago
Read 2 more answers
Please explain, thank you
RoseWind [281]

Answer:

C. 2.

Step-by-step explanation:

The graph descends from the left  so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below.  The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.

f(x) = a(x + 20)(x - 6.5)(x - 13)   where a is  a negative constant.

(This is only an approximation).

By the Remainder theorem, when the expression is divided by (x + 10):

f(-10) = -20 so we have

-20 = a (-10 + 20)(-10-6.5)(-10 - 13)

(10)(-16.5)(-23)a = -20

a = -20 / (10)(-16.5)(-23)

a = -0.0053

When  the equation is divided by (x - 10) then f(10)  is the remainder so substituting we have as the remainder:

-0.0053(10+20)(10-6.5)(10 -13)

-0.0053 * 30 * 3.5 * -3

= 1.7 approximately.

Looks like the answer is 2.

3 0
3 years ago
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