Question

PLEASEE HELPPP!!!!

Answer 1

y = - $\frac{2}{5}$ x - 2

the equation of a line in slope- intercept form is

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

rearrange 2x + 5y = 10 into this form

subtract 2x from both sides

5y = - 2x + 10 ( divide all terms by 5 )

y = - $\frac{2}{5}$ x + 2 ← point- slope form with slope m = - $\frac{2}{5}$

Parallel lines have equal slopes hence

y = - $\frac{2}{5}$ x + c is the partial equation of the parallel line

to find c, substitute ( 5, - 4 ) into the partial equation

- 4 = - 2 + c ⇒ c = - 4 + 2 = - 2

y = - $\frac{2}{5}$ x - 2 ← equation of parallel line