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)

y = - x +

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

= - = -

y = - x + c ← is the partial equation

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

3 = - + c ⇒ c = 3 + =

y = - x + ← in slope- intercept form

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.