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2 years ago

IT'S URGENT PLEASEE What is the slope of a line perpendicular to the line 2y = 3x - 10?

Mathematics

2 answers:

sashaice [31]2 years ago

6 0

Perpendicular slope is -2/3

belka [17]2 years ago

5 0

<h3>Answer: perpendicular slope is -2/3</h3>

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Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

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Which is the equation in the slope-intercept form of the line that contains points E & F ?

sesenic [268]

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = $\frac{-4-4}{2-4}$ = $\frac{-8}{-2}$ = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

How do you find the slope of x^2 at x = 5? please hurry

Lorico [155]

The slope of any function is its first derivative.

If f(x)=x^2, then f'(x)= 2x .

At x=5, slope = f'(x) = 2(5) = <em>10</em> .

5 0

3 years ago

How can i work this problem out

muminat

The form of the linne is given by
Y=mx +b
Where b is the y intercept of the line
That is the point where the line cuts the y axis
So here b= -3
So
Equation is
Y=1/3 x +(-3)
Answer in place of question mark is -3

3 0

3 years ago

2/x multiplied by what equals 1

Varvara68 [4.7K]

Answer:

Multiplied by2x

2/x ×2x =1

5 0

2 years ago

A graphic designer wants to translate rectangle DEFG using T–1, 2(x, y). The pre-image has coordinates D(–1, 3),

anygoal [31]

Answer:

D'(-2, 5), E'(3, 5), F'(3, 3), G'(-2, 3)

Step-by-step explanation:

Adding (-1, 2) to each of the coordinates gives ...

D +(-1, 2) = (-1-1, 3+2) = D'(-2, 5)

E +(-1, 2) = (4-1, 3+2) = E'(3, 5)

F +(-1, 2) = (4-1, 1+2) = F'(3, 3)

G +(-1, 2) = (-1-1, 1+2) = G'(-2, 3)

8 0

3 years ago

Read 2 more answers