Y+2x=2 find the slope of every line perpendicular to the graph of the equation

Mathematics

1 answer:

REY [17]2 years ago

7 0

Answer:

$m_{perpendicular}$ = $\frac{1}{2}$

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-2}$ = $\frac{1}{2}$

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