Question

Write an equation in standard form of the line that passes through the point and has thegiven slope.(-2, 4); m = -6None of the other answers are correctOy - 6x = 86x + y = -8Oy - 6x = -86x - y = 8

Answer 1

the general form of the line is

$y=mx+b$

where m is the slope of the line and b the y-intercept

we get the slope from the statement m=-6

$y=-6x+b$

now to find the value of b we replace the point (-2,4) and solve for b

$\begin{gathered} (4)=-6(-2)+b \\ 4=12+b \\ b=4-12 \\ b=-8 \end{gathered}$

now replace the value of b

$y=-6x-8$

and transform to the standard form placing the unknows on the same side

$y+6x=-8$

we can reorganize

$6x+y=-8$

then right option is Third option