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4 years ago

Calculate the slope of the line using two different pairs of points (5,1) (6,5)

Mathematics

1 answer:

uranmaximum [27]4 years ago

3 0

The slope is m=4..use the point slope formula, it helps

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Maria and Nate graphed lines on a coordinate plane. Maria's line is represented by the equation y = -5/6x +8. Nate's line is per

eduard

Answer:

c) 6x - 5y = 15

Step-by-step explanation:

Slope-intercept form of a linear equation: $y=mx+b$

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

Maria's line: $y=-\dfrac{5}{6}x+8$

Therefore, the slope of Maria's line is $-\frac{5}{6}$

If two lines are perpendicular to each other, the product of their slopes will be -1.

Therefore, the slope of Nate's line (m) is:

$\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}$

Therefore, the linear equation of Nate's line is:

$y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}$

Rearranging this to standard form:

$\implies y=\dfrac{6}{5}x+b$

$\implies 5y=6x+5b$

$\implies 6x-5y=-5b$

Therefore, <u>option c</u> could be an equation for Nate's line.

3 0

3 years ago

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

Liula [17]

Answer:

$\frac{35}{2}$

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

$3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}$

$5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}$

Then, evaluating the expression:

$\frac{10}{3}$ × $\frac{21}{4}$ = $\frac{210}{12}$

→ $\frac{35}{2}$

4 0

4 years ago

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet, and the area of the triangle is

Gnesinka [82]

Answer:

A. 5x^2 − 2x − 24 = 0

Step-by-step explanation:

height = 5b-2

b =x

We can rewrite the height as

h = 5x-2

We know the formula for area of a triangle

A = 1/2 bh

A =1/2 x * (5x-2)

Distributing the x

A= 1/2 (5x^2 - 2x)

We know A =12

12 = 1/2 (5x^2 - 2x)

Multiply each side by 2

12*2 = 2*1/2 (5x^2 - 2x)

24 = 5x^2 - 2x

Subtract 24 from each side

24-24 = 5x^2 - 2x-24

0 = 5x^2 - 2x-24

6 0

3 years ago

Please help Urgent giving brainlist!

notsponge [240]

Answer:

$f=-\frac{5}{3}$

Step-by-step explanation:

$-\frac{3}{4}f=\frac{5}{4}$

$(4)-\frac{3}{4}f=(4)\frac{5}{4}$

$-3f=5$

$\frac{-3f}{-3}=\frac{5}{-3}$

$f=-\frac{5}{3}$

4 0

3 years ago

Read 2 more answers

What is the y=mx+b of this?

pochemuha

I think it’s y=-1x+ -8 or could be written as y=-1x-8

3 0

3 years ago