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3 years ago

How do I solve this?

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

We have to get a straight line that passes through (4,3) point and is parallel to the y-axis i.e. x = 0 straight line.

Now, we know the equation of all the straight lines which are parallel to y-axis is given by the equation x = c .......... (1), where c is any constant.

Now, as the straight line passes through the point (4,3), then it must satisfy equation (1).

Hence, c = 4.

Therefore, x = 4 is the equation of the required straight line. (Answer)

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3 years ago

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

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3 years ago

A family has an annual income of $25,200. of this, 1/4 is spent for food, 1/5 for housing, 1/10 for clothing, 1/9 for savi

Firlakuza [10]

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