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Natasha_Volkova [10]
3 years ago
6

Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercep

t form of the equation of a line.
1
Perpendicular to the line y = -x +4; containing the point (1, -2)
Mathematics
1 answer:
Semenov [28]3 years ago
4 0

The equation for the line in slope-intercept form that is Perpendicular to the line y = -x +4;  containing the point (1, -2) is y = x - 3

<h3 /><h3>The slope intercept equation;</h3>

The slope intercept equation can be represented as follows:

  • y = mx + b

where

m = slope

b = y-intercept

The equation of the line is perpendicular to the line y = -x + 4.

For equations of a line to be perpendicular to each other, the product of their slope is equals to -1.

Therefore,

m₁m₂ = -1 (perpendicular)

-m₂ = -1

m₂ = 1

This means the equation we are looking for has a slope of 1.

Therefore,

y = x + b

let's find b using (1, -2)

-2 = 1 + b

b = -2 - 1

b = -3

The equation is as follows:

  • y = x - 3

learn more on slope intercept form equation: brainly.com/question/13217079?referrer=searchResults

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Write the equation of the line that is parallel to the y-axis and passes through the point (7,0)
Afina-wow [57]

The equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

We have:

The line that is parallel to the y-axis and passes through the point (7,0)

As we know the line equation:

Parallel to the y-axis

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Passes through the point (7,0)

x = 7

Thus, the equation of the line is x = 7 which is parallel to the y-axis and passes through the point (7,0)

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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