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2 years ago

What is the slope of a line that contains the points (1 -2) and (4, -3).

Mathematics

1 answer:

Naddika [18.5K]2 years ago

4 0

Answer:

$-\frac{1}{3}$

Step-by-step explanation:

Use the definition of slope:

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

Replace the values in the equation and solve:

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

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An equation parallel and perpendicular to 4x+5y=19

UNO [17]

Answer:

Parallel line:

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

$y=\frac{5}{4}x-\frac{1}{2}$

Step-by-step explanation:

we are given equation 4x+5y=19

Firstly, we will solve for y

$4x+5y=19$

we can change it into y=mx+b form

$5y=-4x+19$

$y=-\frac{4}{5}x+\frac{19}{5}$

so,

$m=-\frac{4}{5}$

Parallel line:

we know that slope of two parallel lines are always same

so,

$m'=-\frac{4}{5}$

Let's assume parallel line passes through (1,1)

now, we can find equation of line

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

we can plug values

$y-1=-\frac{4}{5}(x-1)$

now, we can solve for y

$y=-\frac{4}{5}x+\frac{9}{5}$

Perpendicular line:

we know that slope of perpendicular line is -1/m

so, we get slope as

$m'=\frac{5}{4}$

Let's assume perpendicular line passes through (2,2)

now, we can find equation of line

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

we can plug values

$y-2=\frac{5}{4}(x-2)$

now, we can solve for y

$y=\frac{5}{4}x-\frac{1}{2}$

4 0

3 years ago

What is the correct equation to solve for X?

Vanyuwa [196]

It’s the second option
sin(45)=13/x

6 0

2 years ago

Reduced form of 2ab^2-a^2 b^2/5

Ket [755]

Answer:

$2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}$

Step-by-step explanation:

Given the expression

$2ab^2-\frac{a^2b^2}{5}$

$\mathrm{Convert\:element\:to\:fraction}:\quad \:2ab^2=\frac{2ab^25}{5}$

$2ab^2-\frac{a^2b^2}{5}=\frac{2ab^2\cdot \:5}{5}-\frac{a^2b^2}{5}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2ab^2\cdot \:5-a^2b^2}{5}$

$=\frac{10ab^2-a^2b^2}{5}$

Thus,

$2ab^2-\frac{a^2b^2}{5}=\frac{10ab^2-a^2b^2}{5}$

7 0

2 years ago

Which number is not in scientific notation? 0.2 ⋅ 103 3 ⋅ 1028 1.03 ⋅ 10–2 1.5 ⋅ 10–6

sweet-ann [11.9K]

The first one as the first number must be >= 1 Here it is 0.2.

3 0

2 years ago

Read 2 more answers

What’s the answer???

77julia77 [94]

Answer:

"16.67"

Step-by-step explanation:

250÷15=16.67

5 0

3 years ago