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MArishka [77]
3 years ago
11

What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?

Mathematics
1 answer:
Ratling [72]3 years ago
6 0

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

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Answer:

y=(x+5)(x+2)

Step-by-step explanation:

Intercept form of quatratics is the best way to solve this equation, since you're given the roots needed.

The intercept form equation is y=a(x-p) (x-q) [where p and q are your roots/intercepts].

So, you input the intercepts and get y=(x-(-5))(x-(-2)), so your final answer should be y=(x+5)(x+2).

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In this question, AE is the length of half of one diagonal in the rectangle. DB is the length of the other diagonal. 2(4x-12) would be the total length of the other diagonal, AC. You can set 2(4x-12) equal to 7x-18 and solve for x.

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