Write the equation of the line perpendicular to y = 2x + 1 and passing through the point (-2,3).
Stacey Warren - Expert brainly.com
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the general form of a straight line is
y=mx + c
compare that to YOUR equation
what is the value equivalent to m, in YOUR equation?
the value that is equal to m is 2 . but i need perpendicular
OK - we're getting there
m is the slope of the line
the slope of a line perpendicular to that is -1/m
so if the slope is 2 - what is the slope of the perpendicular line?
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so the equation of the perpendicular line is of the form
y = -1/2 x +b
but you are told that when x=-2 then y =3 (because the point given lies on the line)
so put those values into the equation, and you can then work out what b is
no - it is
y= (-1/2) x +b
put y = 3, and x= -2
you will then have an equation with b as the unknown value
so you now know m and b
so write the new equation
y = mx+b
yes - just about...
it's y = -1/2 x + 2
Just remember -
if you have a line of slope m then the perpendicular line has slope -1/m