Question

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

Answer 1

Answer:

y = 0.25x - 5

Step-by-step explanation:

Given line is 4x + y = 3

or y = -4x + 3

Comparing this with slope-intercept form y = mx + c :

slope of this line is -4

Product of slopes of perpendicular lines = -1

⇒ slope of a line perpendicular to this is $\frac{-1}{-4}$ = $\frac{1}{4}$ = 0.25

This 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 - 5

This is in the slope-intercept form y = mx + c with slope m = 0.25 and y-intercept (0,-5)