Question

20 POINTS! 1 question PERPENDICULAR LINES

Find the equation of the straight line passing through the point (0, 1) which is perpendicular to the line

y = -2x + 2

Please add working out, many thanks.

Answer 1

If the line is perpendicular, that means the slope has to be opposite, so it will have a slope of -1/2

Fill in the point that it has to pass through on y and x

1=-1/2(0) + b

1=0+b

1=b

Then go back to the standard form y=mx + b and fill in the slope and y intercept

Y= -1/2x + 1

Answer 2

Answer:

y =  x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form isy = mx + c ( m is the slope and c the y-intercept )y = - 2x + 2 is in this form with slope m = - 2given a line with slope m then the slope of a line perpendicular to it is = -  = -  = the point (0, 1 ) is the y- intercept ⇒ c = 1y =  x + 1 ← equation of perpendicular line