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3 years ago

What is the equation in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4?

1 answer:

5 0

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Step-by-step explanation:

Given

m=4

and

Point = (x1,y1) = (-1,-3)

The general form of point-slope equation of line is:

$y-y_1=m(x-x_1)\\Putting the values of m, x_1 and y_1\\y-(-3)=4(x-(-1))\\y+3=4(x+1)$

Hence,

The equation of line in point-slope form of the line that passes through the point (−1, −3) and has a slope of 4 is:

y+3=4(x+1)

Keywords: Point-slope form, Slope

Learn more about equation of line at:

#LearnwithBrainly

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

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

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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

x = c

Passes through the point (7,0)

x = 7

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1 year ago

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Step-by-step explanation:

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2 years ago

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Complete the point-slope equation of the line through ( − 5 , 4 ) (−5,4)left parenthesis, minus, 5, comma, 4, right parenthesis

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The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Step-by-step explanation:

Given points are:

(x1,y1) = (-5,4)

(x2,y2) = ((1,6)

First of all we have to find the slope of line

So,

$m=\frac{y_2-y_1}{x_2-x_1}\\=\frac{6-4}{1+5}\\=\frac{2}{6}\\=\frac{1}{3}$

Point-slope form is given by:

$y-y_1=m(x-x_1)$

Putting m=1/3

$y-y_1=\frac{1}{3}(x-x_1)$

Putting (1,6) in the equation

$y-6=\frac{1}{3}(x-1)$

The point slope form of equation through given points is:

$y-6=\frac{1}{3}(x-1)$

Keywords: Point slope form

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