Question

The equation of line GH is y=4x-3. Write an equation of Aline perpendicular to line GH in slope-intercept form that contains point (2,3)

Answer 1

Answer:

y = - $\frac{1}{4}$ x + $\frac{7}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 4x - 3 is in this form with slope m = 4

Given the slope of a line m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{4}$

y = - $\frac{1}{4}$ x + c ← is the partial equation

To find c substitute (2, 3) into the partial equation

3 = - $\frac{1}{2}$ + c ⇒ c = 3 + $\frac{1}{2}$ = $\frac{7}{2}$

y = - $\frac{1}{4}$ x + $\frac{7}{2}$ ← in slope- intercept form