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densk [106]
4 years ago
15

Evaluate the following expression 2(1,0) -3(2,-1) A-(2,3) B-(-4,3) C-(-3,-2) D-(2,3)

Mathematics
2 answers:
Liono4ka [1.6K]4 years ago
6 0

Answer:

(-4,3)

B is the correct option.

Step-by-step explanation:

We have been given the expression 2(1,0) -3(2,-1)

On distributing 2 and -3 over the parentheses, we get

(2×1,2×0)+(-3×2,-3×(-1))

On simplifying, we get

(2,0)+(-6,3)

Now, adding, we get

(2-6,0+3)

On simplifying, we get

(-4,3)

B is the correct option.

marusya05 [52]4 years ago
5 0
The answer is B, (-4,3)
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Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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plz give brainliest

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