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3 years ago

Find the equation of a line which passes through (2 4) with a slope of ½

Mathematics

1 answer:

Norma-Jean [14]3 years ago

4 0

Answer:

The equation of the straight line is x - 2y +6 =0

Step-by-step explanation:

<u>Explanation:</u>-

Given a point ( 2, 4) and slope m = $\frac{1}{2}$

The equation of the straight line passing through the point and having slope 'm'

y - y₁ = m ( x - x₁)

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

2( y -4) = ( x-2)

2 y - 8 = x -2

x - 2 y - 2 + 8 =0

x - 2y + 6 =0

The equation of the straight line is x - 2y +6 =0

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Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

3 years ago

A= 1/2 h(a+b) solve for b

irakobra [83]

Answer and Step-by-step explanation:

Solve for b.

A = $(\frac{1}{2}) (h)(a+b)$

Divide by h and multiply by 2 from both sides.

$\frac{2A}{h} = a+ b$

Subtract a from both sides.

$(\frac{2A}{h} ) - a = b$

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3 years ago

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aleksandrvk [35]

Slope = (-1 + 3)/(-4 + 3) = 2/-1 = -2

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Reptile [31]

Answer:

Step-by-step explanation:

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3 years ago

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Dima020 [189]

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Explanation:

Use the identities ...

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3 years ago

Find the equation of a line which passes through (2 4) with a slope of ½​

Find the equation of a line which passes through (2 4) with a slope of ½