Question

Geometry math question no Guessing and Please show work

Answer 1

we know the equation of a line can be represented as
$y = mx + c$
where m is the slope,and c is the constant.
since here line is parallel hence m= slope of given line I.e. m= -0.25
now to find the constant c ,since line passes through the given point
$4 = 4 \times ( - 0.25) + c$
$c = 5$
hence the correct option is C.