Cory Russell
2022-10-18
Answered

Write an equation of a line passing through (0, 2), perpendicular to y=4x–3

You can still ask an expert for help

Tirioliwo

Answered 2022-10-19
Author has **12** answers

The slope of line: y=4x−3≡y=mx+c is 4.

Hence the slope m of the line perpendicular to the given line: y=4x−3

$m=-\frac{1}{4}$

Now, the equation of line passing through the point $({x}_{1},{y}_{1})\equiv (0,2)$ & having a slope $m=-\frac{1}{4}$ is given as

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

$y-2=-\frac{1}{4}(x-0)$

$4y-8=-x$

$x+4y-8=0$

Hence the slope m of the line perpendicular to the given line: y=4x−3

$m=-\frac{1}{4}$

Now, the equation of line passing through the point $({x}_{1},{y}_{1})\equiv (0,2)$ & having a slope $m=-\frac{1}{4}$ is given as

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

$y-2=-\frac{1}{4}(x-0)$

$4y-8=-x$

$x+4y-8=0$

asked 2021-06-01

Find the linear approximation of the function

Use L(x) to approximate the numbers

asked 2022-10-13

Write me an equation in standard form for the line through (7,9), parallel to x+4y=7

asked 2022-11-12

Write an equation of a line going through (-3,-5) parallel to y=-4x+1

asked 2021-09-11

The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or

asked 2022-11-18

What kind of a triangle is it if the angles of a triangle are represented by x, 3x + 20, and 6x

asked 2022-02-16

The linear equation is the equation that has a from:

${a}_{1}{x}_{1}+{a}_{2}{x}_{2}+\dots +{a}_{n}{x}_{n}=b$

But is this really the definition of a linear equation? I thought that the definition should be the form of linear mapping. Like,

$f(x+y)=f\left(x\right)+f\left(y\right)$

$f\left(ax\right)=af\left(x\right)$

What is the definition of a linear equation?

But is this really the definition of a linear equation? I thought that the definition should be the form of linear mapping. Like,

What is the definition of a linear equation?

asked 2022-09-14

Fisherman was catching fish. If he caught one red fish, he said that he caught 3, but if he caught 3 blue fish, he said that he caught only one fish. After fishing, he told that he caught 24 fish. And in the bucket there were 24 fish. How many red fish did he catch?