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3 years ago

What is the equation of the line that passes through point (4, 12) and has a intercept of -2

Mathematics

1 answer:

kozerog [31]3 years ago

7 0

Answer:

$\large\boxed{y=\dfrac{7}{2}x-2}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the point (4, 12), and y-intercept b = -2 → (0, -2).

Substitute:

$m=\dfrac{-2-12}{0-4}=\dfrac{-14}{-4}=\dfrac{14:2}{4:2}=\dfrac{7}{2}$

Finally:

$y=\dfrac{7}{2}x-2$

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2 years ago

What is 11/12 minus 3/8

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Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

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3 years ago

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3 years ago

What is the inverse of the function

sleet_krkn [62]

Answer:

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Step-by-step explanation:

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2 years ago

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of r

joja [24]

The correct answer for this question is "The discriminant is equal to −16, which means the equation has no real number solutions."

 −1 = 5x2 −2x
5x2 −2x + 1 = 0

To get the discriminant value, use this formula
= b^2 - 4ac
= (-2)^2 - 4(5)(1)
= 4 - 20
= -16

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3 years ago

Read 2 more answers

What is the equation of the line that passes through point (4, 12) and has a intercept of -2​

What is the equation of the line that passes through point (4, 12) and has a intercept of -2