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Blizzard [7]
2 years ago
10

Write the equation of the line in fully simplified slope-intercept form.

Mathematics
2 answers:
Alexxandr [17]2 years ago
5 0

Use 2 points on the line to find the slope.

Slope = change in y / change in x

The two points used: (-2,5) and ( 1,-10)


slope = (-10 -5) /(1- -2) = -15/3 = -5


the y intercept is where the line is at in the y direction when it crosses the x axis at 0.


the y intercept is -5


The equation is y = -5x -5

Oksanka [162]2 years ago
5 0

Answer:

y=-9/2x-4

Step-by-step explanation:

see explanation in photo below

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Which graph represents the exponential function below f(x)=5(3)^x-1
castortr0y [4]

Answer:

Given Exponential Function is :

f(x)=5\times3^x-1

We have check which graph represent given Exponential Function,

let, y=5\times3^x-1

Put x = 0, we get

y=5\times3^0-1

y = 5 × 1 - 1 = 4

One of the passing through point = ( 0 , 4 )

Now, Put y = 0, we get

0=5\times3^x-1

3^x=\frac{1}{5}

log\,(3^x)=log\,(0.2)

x\:log\,3=log\,0.2

x=\frac{log\,0.2}{log\,3}

x=\frac{log\,0.2}{log\,3}

x = -1.465

Another passing through point is ( -1.465 , 0 )

So, Clearly No Given Option in attached is correct.

Correct Graph is attached.

8 0
3 years ago
Passing through (1,9),slope=2
Natalka [10]
Passes through (1, 9) with a slope of 2.

Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)

To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.

y = mx + b

Plug everything in.

9 = 2(1) + b

Simplify.

9 = 2 + b

Subtract 2 from both sides.

9 - 2 = b

b = 7

Therefore, our y-intercept is 7! :)

Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.

y = mx + b

y = 2x + 7

~Hope I helped!~
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4 years ago
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