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3 years ago

Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form

Mathematics

2 answers:

myrzilka [38]3 years ago

7 0

Answer:

$y = 5x - 11$

Step-by-step explanation:

1) Find slope

2) Substitute 1 point back into formula to find y-intercept, aka c

tresset_1 [31]3 years ago

7 0

ANSWER

$y = 5x - 11$

EXPLANATION

The given line passes through:

(3,4) and (2,-1).

The slope is given by:

$m = \frac{ - 1 - 4}{2 - 3}$

$m = \frac{ - 5}{ - 1} = 5$

The equation can be found using

$y-y_1=m(x-x_1)$

We plug in the point and slope to get:

$y - 4 = 5(x - 3)$

$y - 4 = 5x - 15$

$y = 5x - 15 + 4$

$y = 5x - 11$

This is the slope-intercept form

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Step-by-step explanation:

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If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?

omeli [17]

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

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198 -3x = 180

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2 years ago

Which of the following is the surface area of the right cylinder below?

Snowcat [4.5K]

Answer: Option A.

Step-by-step explanation:

You need to use this formula for calculate the surface area of the right cylinder:

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Where "r" is the radius and "h" is the height.

You can identify in the figure that:

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Knowing this, you can substitute these values into the formula $SA=2\pi r^2+2\pi rh$ , therefore you get that the surface area of this right cylinder is:

$SA=2\pi (8units)^2+2\pi (8units)(3units)$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

If (x, y) is a solution to the system of equations, what is the value of y? 1/4 x + 1/8 y = 2 1/3 x + 1/2 y = 4 A) 4 B) 6 C) -6

andre [41]

<h3>The value of y is 4</h3>

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

$\frac{1}{4}x + \frac{1}{8}y =2 ---------- eqn\ 1\\\\\frac{1}{3}x + \frac{1}{2}y = 4 -------------- eqn\ 2$

We have to find value of y

From eqn 1,

$\frac{1}{4}x + \frac{1}{8}y =2 \\\\2x + y = 2 \times 8\\\\2x + y = 16 ---- eqn\ 3$

From eqn 2,

$\frac{1}{3}x + \frac{1}{2}y = 4\\\\2x + 3y = 4 \times 6\\\\2x + 3y = 24 ------ eqn\ 4$

Subtract eqn 3 from eqn 4

2x + 3y = 24

2x + y = 16

( - ) -----------------

2y = 8

y = 4

Thus value of y is 4

5 0

2 years ago