Please Help with finding equation of line?

Question

Find the equation of a line which intersects y = -2x+3 at right angles and has y-intercept -2.

Thank you

Answer 1

Remember that perpendicular lines have slopes that are negative reciprocals of each other.  The slope of the first line is -2, so the slope of the second line must be -1 / (-2) = 1/2.  Since m=1/2 and b= -2, you have all that you need to write the equation of the line in y=mx+b form:

y = (1/2)x - 2

Answer 2

required line is y = (1/2)x -- 2

Answer 3

start by recalling lines can be written as

y=mx+b

in this form, m is the slope and b is the y intercept

for two lines to be perpendicular (meet at right angles), the slopes of the two lines must multiply to equal -1.  So if the slope of the given line is -2, the slope of the line you are seeking must be 1/2

thus, the equation of a line with slope =1/2 and y intercept =-2 is:

y=1/2 x -2