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torisob [31]
2 years ago
9

What is the slope-intercept equation of the line below?

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
5 0

Slope is known as rise over run. Because the line is pointing "\", it is negative.

The rise, the distance from one point to another, specifically from (0,4) to (1,1) is 3, as 4-1=3. your run is 1-0=1.

So your rise over run is -3/1 or, -3.

Your y-int is where when x=0, y=?

In this case y=4 when x=0.

Your equation is

y=-3x+4

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Find the x-intercepts of the parabola with vertex (5,-12) and y-interdept (0,63). Write your answer in this form: (x1,y1), (x2,V
VLD [36.1K]

The x-intercepts of the parabola are (3, 0) and (7,0)

<h3>How to determine the x-intercept?</h3>

The given parameters are:

Vertex (h, k) = (5, -12)

Point (x, y) = (0, 63)

The equation of a parabola is:

y = a(x - h)^2 + k

Substitute (h, k) = (5, -12)

y = a(x - 5)^2 - 12

Substitute (x, y) = (0, 63)

63 = a(0 - 5)^2 - 12

Evaluate

63 = 25a - 12

Add 12 to both sides

25a = 75

Divide by 26

a = 3

Substitute a = 3 in y = a(x - 5)^2 - 12

y = 3(x - 5)^2 - 12

Set y to 0 to determine the x-intercepts

0 = 3(x - 5)^2 - 12

Add 12 to both sides

3(x - 5)^2 = 12

Divide by 3

(x - 5)^2 = 4

Take the square root of both sides

x - 5 = \pm 2

Add 5 to both sides

x = 5 \pm 2

Expand

x = (5 - 2, 5 + 2)

Evaluate

x = (3, 7)

Hence, the x-intercepts of the parabola are (3, 0) and (7,0)

Read more about parabola at:

brainly.com/question/21685473

#SPJ1

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Step-by-step explanation:

because they have the same symbol which let's them be able to add or sybtract

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Answer:

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Step-by-step explanation:

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