Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)

JetssheetaDumcb
2022-10-17
Answered

Find the point-slope form of the equation of the line passing through the points (15, 16), (13, 10)

You can still ask an expert for help

Carly Yang

Answered 2022-10-18
Author has **19** answers

Given two points $({x}_{1},{y}_{1})$ and $({x}_{2},{y}_{2})$

the slope is given by the formula

$m=\frac{\Delta y}{\Delta x}=\frac{{y}_{1}-{y}_{2}}{{x}_{1}-{x}_{2}}$

Given the points (15,16) and (13,10)

the slope is $m=\frac{16-10}{15-13}=\frac{6}{2}=3$

Given a slope m and a point $({x}_{1},{y}_{1})$

the point-slope form of the linear equation is

$y-{y}_{1}=m(x-{x}_{1})$

For the given values this becomes

y−16=3(x−15)

the slope is given by the formula

$m=\frac{\Delta y}{\Delta x}=\frac{{y}_{1}-{y}_{2}}{{x}_{1}-{x}_{2}}$

Given the points (15,16) and (13,10)

the slope is $m=\frac{16-10}{15-13}=\frac{6}{2}=3$

Given a slope m and a point $({x}_{1},{y}_{1})$

the point-slope form of the linear equation is

$y-{y}_{1}=m(x-{x}_{1})$

For the given values this becomes

y−16=3(x−15)

asked 2021-06-01

Find the linear approximation of the function

Use L(x) to approximate the numbers

asked 2022-09-07

What would be the cost in dollars of nails for a fence 88 feet long if one needs 9 nails per foot of fence, there are 36 nails in a pound, and they sell for 69 cents per pound?

asked 2022-10-08

Find the equation of the line perpendicular to $y=-\frac{3}{16}x$ that passes through (−2,4)

asked 2022-05-18

I have a system of linear equations that has no solutions.

It looks like this in augmented matrix form.

$\begin{array}{cccc}1& -1& 2& 5\\ 2& 1& 0& 1\\ 1& 8& -1& 3\\ -1& -5& -12& 41\end{array}$

I need to replace right hand value in equation 4 (41) with a value that will give me a unique solution when in reduced row echelon form. How do I approach this problem in a logical way to find the possible values?

It looks like this in augmented matrix form.

$\begin{array}{cccc}1& -1& 2& 5\\ 2& 1& 0& 1\\ 1& 8& -1& 3\\ -1& -5& -12& 41\end{array}$

I need to replace right hand value in equation 4 (41) with a value that will give me a unique solution when in reduced row echelon form. How do I approach this problem in a logical way to find the possible values?

asked 2022-11-12

Create a linear model in a word problem

asked 2022-10-26

Find three consecutive integers whose sum is 42

asked 2022-02-16

General form of linear equation using two variables I always read can be written:

$Ax+By+c=0$

where A and B cannot both be 0.

So does it means like$1x+0y+c=0$

is a linear equation of two variables i.e basically what I am asking is that both A and B cannot be zero but can either A or B be 0 like:

$0x+4y-5=0$ or $3x+0y-15=0$

Are the above equation a Linear equation of 2 variables?

Need your help!

where A and B cannot both be 0.

So does it means like

is a linear equation of two variables i.e basically what I am asking is that both A and B cannot be zero but can either A or B be 0 like:

Are the above equation a Linear equation of 2 variables?

Need your help!