What is the perpendicular y=2x+3,(1,3) ?

The perpendicular y=2x+3,(1,3) is y=-1/2 x+7/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

perpendicular y=2x+3,(1,3)

perpendicular

y = 2 x + 3, (1, 3)

y = - \frac{1}{2} x + \frac{7}{2}

Solution steps

Find the line

y = mx + b

perpendicular to

y = 2 x + 3

that passes through

(1, 3)

Find the slope of

y = 2 x + 3 : m = 2

Compute the slope of the perpendicular line:

m_{p} = - \frac{1}{2}

Find the line with slope m=

- \frac{1}{2}

and passing through

(1, 3) : y = - \frac{1}{2} x + \frac{7}{2}

y = - \frac{1}{2} x + \frac{7}{2}

What is the perpendicular y=2x+3,(1,3) ?
The perpendicular y=2x+3,(1,3) is y=-1/2 x+7/2