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4 years ago

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1 what is the value of x?

Mathematics

1 answer:

Nana76 [90]4 years ago

4 0

Answer:

The value of x is -3

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of a line that passes through points (x1 , y1) and (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

* Lets solve the problem

∵ The points (4 , 1) and (x , -6) lie on the same line

∵ The slope of the line is 1

- Let the point (4 , 1) is (x1 , y1) and the point (x , -6) ix (x2 , y2)

∵ x1 = 4 , x2 = x and y1 = 1 , y2 = -6

∴ $m=\frac{x-4}{-6-1}$

∴ $m=\frac{x-4}{-7}$

∵ The slope of the line is m = 1

∴ $\frac{x-4}{-7}=1$

- By using cross multiplication

∴ x - 4 = -7 ⇒ add 4 to both sides

∴ x = -3

* The value of x is -3

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Step-by-step explanation:

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3 years ago

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Kisachek [45]

Answer:

Option C. $g(x)=(x+5)^{2}$

Step-by-step explanation:

we know that

The equation of the parent function f(x) (red graph) is

$f(x)=x^{2}$

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The vertex is the point (0,0) (the origin)

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f(x) -----> g(x)

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3 years ago

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yulyashka [42]

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3 years ago

Determine the intercepts of the line 2x+5y=-6?

SVETLANKA909090 [29]

Answer:

The x intercept is (-3,0)

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Step-by-step explanation:

To find the x intercept, set y =0 and solve for x

2x+5y=-6

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Divide by 2

2x/2 = -6/2

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The x intercept is (-3,0)

To find the y intercept, set x =0 and solve for y

2x+5y=-6

0+5y = -6

Divide by 5

5y/5 = -6/5

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