Write the equation of the line perpendicular to + = that passes through (−,−). Write your answer in slope-intercept form.

Answer:y = 0.25x - 5Step-by-step explanation:Given line is 4x + y = 3or y = -4x + 3Comparing this with slope-intercept form y = mx + c :slope of this line is -4Product of slopes of perpendicular lines = -1⇒ slope of a line perpendicular to this is [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex] = 0.25This line also passes through the point (-4,-6)The equation of a line having slope m and passing through a point (h,k) is y - k = m(x - h)⇒ equation of line perpendicular to given line is y - (-6) = 0.25×{x - (-4)}⇒ y + 6 = 0.25×(x + 4)⇒ y + 6 = 0.25x + 1⇒ y = 0.25x - 5This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)