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2 years ago

write an equation in point slope form from the line through the given point with the given slope (-3,-5);m=-2/5

Mathematics

1 answer:

notka56 [123]2 years ago

6 0

Answer: 5y + 2x = -31

Step-by-step explanation:

The equation of a line in point- slope form is given as :

y - $y_{1}$ = m ( x- $x_{1}$ )

$x_{1}$ = -3

$y_{1}$ = -5

m = $\frac{-2}{5}$

Substituting into the formula , we have

y - ( - 5) = $\frac{-2}{5}$ (x - {-3} )

y + 5 = $\frac{-2}{5}$ ( x + 3 )

5 ( y + 5 ) = -2 ( x+ 3)

5y + 25 = -2x - 6

5y + 2x = -31

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write the point-slope form of the line that passes through (1,-5) and is parallel to a line with a slope of 1. include all your

Marina86 [1]

<u>Answer: </u>

The point-slope form of the line that passes through (1,-5) and is parallel to a line with a slope of 1 is y + 5 = x – 1

<u>Solution: </u>

The point slope form of the line that passes through the points $\left(x_{1}, y_{1}\right)$ and parallel to the line with slope “m” is given as

$y-y_{1}=m\left(x-x_{1}\right)$ ---- equation 1

Where “m” is the slope of the line. $x_{1}$ and $y_{1}$ are the points that passes through the line.

From question, given that slope “m” = 1

Given that the line passes through the points (1,-5). Hence we get $x_{1}=1$ and $y_{1}=-5$

By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope 1 can be found out.

y – (-5) = 1(x – 1)

y + 5 = x – 1

hence the point slope form of given line is y + 5 = x – 1

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3 years ago

write an equation in point slope form from the line through the given point with the given slope (-3,-5);m=-2/5​

write an equation in point slope form from the line through the given point with the given slope (-3,-5);m=-2/5