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DerKrebs [107]
3 years ago
6

Find an equation of a line passing through the point (8,9) and parallel to the line joining the points (2,7) and (1,5).

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0

Answer:

y=2x-8

Step-by-step explanation:

In order to solve this you first have to calculate the slope of the parallel line, since that would be equal to the slope of our line:

Slope=\frac{y2-y1}{x2-x1}

Now we insert the values into the formula:

Slope=\frac{y2-y1}{x2-x1}\\Slope=\frac{5-7}{1-2}\\Slope= \frac{-2}{-1}\\ Slope:2

And remember that the formula for general line is:

Y-y1= M(x-x1)\\y-9=2(x-8=\\y=2x-16+9\\y=2x-7

So the equation for the line passing through point 8,9 and parallel to the line joining 2,7 and 1,5 would be y=2x-7

TiliK225 [7]3 years ago
3 0

Answer:

2x - y - 7 = 0

Step-by-step explanation:

Since the slope of parallel line are same.

So, we can easily use formula,

y - y₁ = m ( x ₋ x₁)

where, (x₁, y₁) = (8, 9)

and m is a slope of line passing through (x₁, y₁).

and since the slope of parallel lines are same, so here we use slope of parallel line for calculation.

and, Slope = m = \dfrac{y_{b}-y_{a}}{x_{b}-x_{a}}

here, (xₐ, yₐ) = (2, 7)

and, (y_{a},y_{b}) = (1, 5 )

⇒ m = \dfrac{5-7}{1-2}

⇒ m = 2

Putting all values above formula. We get,

y - 9 = 2 ( x ₋ 8)

⇒ y - 9 = 2x - 16

⇒ 2x - y - 7 = 0

which is required equation.

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The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2 and for line 2x + 3y = 6 will be,\rm y = \frac{-2}{3}x+2

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

\rm 3y= 6-2x \\\\ y=  \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is,\rm y= -\frac{2}{3}x -2

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

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This means that we can form the equation y=-5x, since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know x=8, since we need to find the change for 8 weeks.

y = -5\cdot 8

-5 \cdot 8 = -40

y=-40

The change will be the absolute value of -40, which just makes it positive, so 40.

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