Answer:
A line perpendicular to y = -2x + 2 will have a slope of 1/2.
In slope-intercept form, that line is
y = (1/2)x + 1.
Step-by-step explanation:
the equation should be in the same form as the given line (slope-intercept) ?
anyway, in slope-intercept form
y = ax + b
"a" is the slope, "b" is the y-intercept (the y-value when x = 0, and therefore the intercept point of the line with the y-axis).
the slope is always the ratio
y coordinate difference / x coordinate difference
when going from one point to another in the line.
the given factor of x is then the totally simplified ratio-fraction of y-diff/x-diff.
in our case, the slope of the given line is
-2 = -2/1
the slope of a perpendicular line (90°) is simply turning the original slope upside-down and flips the sign.
so, our target slope is based on the given slope :
1/2 (upside-down and flipped sign to -2/1).
so, our desired line equation looks already like this :
y = (1/2)x + b
to get b we use the coordinates of the given points (x- and y-value) :
1 = (1/2)×0 + b = b
so, the full line equation is
y = (1/2)x + 1
