What is the equation in slope intercept form of the line that passes through the point(2,-2) and is perpendicular to the line represented by y= 1/4x+ 2?
Accepted Solution
A:
Answer:The equation of the second line perpendicular;ar to the given line is y + 4x = 6Step-by-step explanation:Here, the equation of line is : [tex]y = \frac{1}{4} x + 2[/tex]The general slope intercept form of any equation is (y - y0) = m(x-x0) : here, m = slope of the given line.So, by comparing this to equation 1, slope m 1 = (1/4)Now, given the next line is perpendicular to the first line.If two lines are perpendicular to each other with respective slopes m 1 and m 2, then ( m 1 x m 2) = -1So, the slope of the second line = -1/m1or, m2 = -4The gicen point on the second line is (2,-2)so, by SLOPE INTERCEPT FORM of an equation:(y-(-2)) = (-4)(x -2)OR, y + 2 = -4x + 8Hence, the equation of the second line is y + 4x = 6