Someone please help me with this Write the equation of the line fully simplified slope-intercept form.

The equation of the line is y = -x + 8

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

The rule of the slope is m = , where

From the given figure

∵ The line passes through points (8, 0) and (0, 8)

∴ x1 = 8 and y1 = 0

∴ x2 = 0 and y2 = 8

→ Substitute them in the rule of the slope to find it

∵ m =

∴ m = -1

→ Substitute it in the form of the equation above

∵ y = -1(x) + b

∴ y = -x + b

∵ b is value y at x = 0

∵ At x = 0, y = 8

∴ b = 8

→ Substitute it in the equation above

∴ y = -x + 8

∴ The equation of the line is y = -x + 8

∠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.