Which type of triangle is rst?

a. equilateral
b. isosceles
c. scalene
d. right
9. write an equation of the line that contains the median of traingle rst from s to rt .

a. x + 2 y = -10
b. x + 2 y = 6
c. x + 2 y = 8
d. x + 2 y = 10
10. write the equation of the line that contains the altitude of triangle rst from t to rs .

a. 2x - 3y = -13
b. 3 x -2 y = -2
c. 2 x + 3 y = 29
d. 3 x + 2 y = 26

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

classify each pair of angles as alternate interior, same-side interior, or corresponding angles.